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Finding the Fourth Proportional to 9,124.16, 13,687.76 and 2,882.70

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Solution

The fourth proportional to 9,124.16, 13,687.76 and 2,882.70 is: 4,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.16 : 13,687.76 = 2,882.70 : x
  2. Step 2: Convert to fraction form
    9,124.16/13,687.76 = 2,882.70/x
  3. Step 3: Cross multiply
    9,124.16x = 13,687.76 × 2,882.70
  4. Step 4: Simplify right side
    9,124.16x = 39,457,712.96
  5. Step 5: Solve for x
    x = 39,457,712.96/9,124.16
  6. Step 6: Final answer
    x = 4,324.53

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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.