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Finding the Fourth Proportional to 9,893.33, 14,829.74 and 6,187.06

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Solution

The fourth proportional to 9,893.33, 14,829.74 and 6,187.06 is: 9,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.33 : 14,829.74 = 6,187.06 : x
  2. Step 2: Convert to fraction form
    9,893.33/14,829.74 = 6,187.06/x
  3. Step 3: Cross multiply
    9,893.33x = 14,829.74 × 6,187.06
  4. Step 4: Simplify right side
    9,893.33x = 91,752,417.02
  5. Step 5: Solve for x
    x = 91,752,417.02/9,893.33
  6. Step 6: Final answer
    x = 9,274.17

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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.