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Finding the Fourth Proportional to 9,512.61, 14,273 and 5,129.04

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Solution

The fourth proportional to 9,512.61, 14,273 and 5,129.04 is: 7,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.61 : 14,273 = 5,129.04 : x
  2. Step 2: Convert to fraction form
    9,512.61/14,273 = 5,129.04/x
  3. Step 3: Cross multiply
    9,512.61x = 14,273 × 5,129.04
  4. Step 4: Simplify right side
    9,512.61x = 73,206,787.92
  5. Step 5: Solve for x
    x = 73,206,787.92/9,512.61
  6. Step 6: Final answer
    x = 7,695.76

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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.