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Finding the Fourth Proportional to 9,592.97, 14,391.51 and 5,434.97

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Solution

The fourth proportional to 9,592.97, 14,391.51 and 5,434.97 is: 8,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.97 : 14,391.51 = 5,434.97 : x
  2. Step 2: Convert to fraction form
    9,592.97/14,391.51 = 5,434.97/x
  3. Step 3: Cross multiply
    9,592.97x = 14,391.51 × 5,434.97
  4. Step 4: Simplify right side
    9,592.97x = 78,217,332.77
  5. Step 5: Solve for x
    x = 78,217,332.77/9,592.97
  6. Step 6: Final answer
    x = 8,153.61

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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.