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Finding the Fourth Proportional to 9,272.64, 12,797.15 and 5,294.35

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Solution

The fourth proportional to 9,272.64, 12,797.15 and 5,294.35 is: 7,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.64 : 12,797.15 = 5,294.35 : x
  2. Step 2: Convert to fraction form
    9,272.64/12,797.15 = 5,294.35/x
  3. Step 3: Cross multiply
    9,272.64x = 12,797.15 × 5,294.35
  4. Step 4: Simplify right side
    9,272.64x = 67,752,591.10
  5. Step 5: Solve for x
    x = 67,752,591.10/9,272.64
  6. Step 6: Final answer
    x = 7,306.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.