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Finding the Fourth Proportional to 9,261.52, 12,781.12 and 5,069.76

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Solution

The fourth proportional to 9,261.52, 12,781.12 and 5,069.76 is: 6,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.52 : 12,781.12 = 5,069.76 : x
  2. Step 2: Convert to fraction form
    9,261.52/12,781.12 = 5,069.76/x
  3. Step 3: Cross multiply
    9,261.52x = 12,781.12 × 5,069.76
  4. Step 4: Simplify right side
    9,261.52x = 64,797,210.93
  5. Step 5: Solve for x
    x = 64,797,210.93/9,261.52
  6. Step 6: Final answer
    x = 6,996.39

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Why These Related Problems?

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