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Finding the Fourth Proportional to 9,947.53, 14,920.17 and 2,552.16

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Solution

The fourth proportional to 9,947.53, 14,920.17 and 2,552.16 is: 3,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.53 : 14,920.17 = 2,552.16 : x
  2. Step 2: Convert to fraction form
    9,947.53/14,920.17 = 2,552.16/x
  3. Step 3: Cross multiply
    9,947.53x = 14,920.17 × 2,552.16
  4. Step 4: Simplify right side
    9,947.53x = 38,078,661.07
  5. Step 5: Solve for x
    x = 38,078,661.07/9,947.53
  6. Step 6: Final answer
    x = 3,827.95

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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.