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Finding the Fourth Proportional to 9,689.76, 13,385.04 and 7,591.83

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Solution

The fourth proportional to 9,689.76, 13,385.04 and 7,591.83 is: 10,487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.76 : 13,385.04 = 7,591.83 : x
  2. Step 2: Convert to fraction form
    9,689.76/13,385.04 = 7,591.83/x
  3. Step 3: Cross multiply
    9,689.76x = 13,385.04 × 7,591.83
  4. Step 4: Simplify right side
    9,689.76x = 101,616,948.22
  5. Step 5: Solve for x
    x = 101,616,948.22/9,689.76
  6. Step 6: Final answer
    x = 10,487.04

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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.