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Finding the Fourth Proportional to 9,263.52, 13,902.36 and 6,472

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Solution

The fourth proportional to 9,263.52, 13,902.36 and 6,472 is: 9,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.52 : 13,902.36 = 6,472 : x
  2. Step 2: Convert to fraction form
    9,263.52/13,902.36 = 6,472/x
  3. Step 3: Cross multiply
    9,263.52x = 13,902.36 × 6,472
  4. Step 4: Simplify right side
    9,263.52x = 89,976,073.92
  5. Step 5: Solve for x
    x = 89,976,073.92/9,263.52
  6. Step 6: Final answer
    x = 9,712.95

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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.