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Finding the Fourth Proportional to 9,874,716.80, 14,789,956.80 and 9,653,532.80

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Solution

The fourth proportional to 9,874,716.80, 14,789,956.80 and 9,653,532.80 is: 14,458,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874,716.80 : 14,789,956.80 = 9,653,532.80 : x
  2. Step 2: Convert to fraction form
    9,874,716.80/14,789,956.80 = 9,653,532.80/x
  3. Step 3: Cross multiply
    9,874,716.80x = 14,789,956.80 × 9,653,532.80
  4. Step 4: Simplify right side
    9,874,716.80x = 142,775,333,079,383.06
  5. Step 5: Solve for x
    x = 142,775,333,079,383.06/9,874,716.80
  6. Step 6: Final answer
    x = 14,458,676.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.