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Finding the Fourth Proportional to 9,006.78, 13,562.68 and 6,683.16

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Solution

The fourth proportional to 9,006.78, 13,562.68 and 6,683.16 is: 10,063.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.78 : 13,562.68 = 6,683.16 : x
  2. Step 2: Convert to fraction form
    9,006.78/13,562.68 = 6,683.16/x
  3. Step 3: Cross multiply
    9,006.78x = 13,562.68 × 6,683.16
  4. Step 4: Simplify right side
    9,006.78x = 90,641,560.47
  5. Step 5: Solve for x
    x = 90,641,560.47/9,006.78
  6. Step 6: Final answer
    x = 10,063.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.