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Finding the Fourth Proportional to 9,932.49, 13,706.28 and 5,951.61

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Solution

The fourth proportional to 9,932.49, 13,706.28 and 5,951.61 is: 8,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.49 : 13,706.28 = 5,951.61 : x
  2. Step 2: Convert to fraction form
    9,932.49/13,706.28 = 5,951.61/x
  3. Step 3: Cross multiply
    9,932.49x = 13,706.28 × 5,951.61
  4. Step 4: Simplify right side
    9,932.49x = 81,574,433.11
  5. Step 5: Solve for x
    x = 81,574,433.11/9,932.49
  6. Step 6: Final answer
    x = 8,212.89

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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.