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Finding the Fourth Proportional to 9,384.72, 14,081.17 and 5,882.76

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Solution

The fourth proportional to 9,384.72, 14,081.17 and 5,882.76 is: 8,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.72 : 14,081.17 = 5,882.76 : x
  2. Step 2: Convert to fraction form
    9,384.72/14,081.17 = 5,882.76/x
  3. Step 3: Cross multiply
    9,384.72x = 14,081.17 × 5,882.76
  4. Step 4: Simplify right side
    9,384.72x = 82,836,143.63
  5. Step 5: Solve for x
    x = 82,836,143.63/9,384.72
  6. Step 6: Final answer
    x = 8,826.70

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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.