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Finding the Fourth Proportional to 9,272.32, 12,796.34 and 5,294.68

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Solution

The fourth proportional to 9,272.32, 12,796.34 and 5,294.68 is: 7,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.32 : 12,796.34 = 5,294.68 : x
  2. Step 2: Convert to fraction form
    9,272.32/12,796.34 = 5,294.68/x
  3. Step 3: Cross multiply
    9,272.32x = 12,796.34 × 5,294.68
  4. Step 4: Simplify right side
    9,272.32x = 67,752,435.02
  5. Step 5: Solve for x
    x = 67,752,435.02/9,272.32
  6. Step 6: Final answer
    x = 7,306.96

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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.