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Finding the Fourth Proportional to 9,261.52, 12,781.22 and 5,069.80

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Solution

The fourth proportional to 9,261.52, 12,781.22 and 5,069.80 is: 6,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.52 : 12,781.22 = 5,069.80 : x
  2. Step 2: Convert to fraction form
    9,261.52/12,781.22 = 5,069.80/x
  3. Step 3: Cross multiply
    9,261.52x = 12,781.22 × 5,069.80
  4. Step 4: Simplify right side
    9,261.52x = 64,798,229.16
  5. Step 5: Solve for x
    x = 64,798,229.16/9,261.52
  6. Step 6: Final answer
    x = 6,996.50

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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.