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Finding the Fourth Proportional to 9,156.30, 13,744.17 and 8,689.74

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Solution

The fourth proportional to 9,156.30, 13,744.17 and 8,689.74 is: 13,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.30 : 13,744.17 = 8,689.74 : x
  2. Step 2: Convert to fraction form
    9,156.30/13,744.17 = 8,689.74/x
  3. Step 3: Cross multiply
    9,156.30x = 13,744.17 × 8,689.74
  4. Step 4: Simplify right side
    9,156.30x = 119,433,263.82
  5. Step 5: Solve for x
    x = 119,433,263.82/9,156.30
  6. Step 6: Final answer
    x = 13,043.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.