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Finding the Fourth Proportional to 9,932.92, 13,706.34 and 5,683.60

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Solution

The fourth proportional to 9,932.92, 13,706.34 and 5,683.60 is: 7,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.92 : 13,706.34 = 5,683.60 : x
  2. Step 2: Convert to fraction form
    9,932.92/13,706.34 = 5,683.60/x
  3. Step 3: Cross multiply
    9,932.92x = 13,706.34 × 5,683.60
  4. Step 4: Simplify right side
    9,932.92x = 77,901,354.02
  5. Step 5: Solve for x
    x = 77,901,354.02/9,932.92
  6. Step 6: Final answer
    x = 7,842.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.