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Finding the Fourth Proportional to 9,884.76, 14,817.42 and 4,694.28

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Solution

The fourth proportional to 9,884.76, 14,817.42 and 4,694.28 is: 7,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.76 : 14,817.42 = 4,694.28 : x
  2. Step 2: Convert to fraction form
    9,884.76/14,817.42 = 4,694.28/x
  3. Step 3: Cross multiply
    9,884.76x = 14,817.42 × 4,694.28
  4. Step 4: Simplify right side
    9,884.76x = 69,557,118.36
  5. Step 5: Solve for x
    x = 69,557,118.36/9,884.76
  6. Step 6: Final answer
    x = 7,036.80

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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.