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Finding the Fourth Proportional to 9,261.78, 12,781.42 and 6,613.70

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Solution

The fourth proportional to 9,261.78, 12,781.42 and 6,613.70 is: 9,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.78 : 12,781.42 = 6,613.70 : x
  2. Step 2: Convert to fraction form
    9,261.78/12,781.42 = 6,613.70/x
  3. Step 3: Cross multiply
    9,261.78x = 12,781.42 × 6,613.70
  4. Step 4: Simplify right side
    9,261.78x = 84,532,477.45
  5. Step 5: Solve for x
    x = 84,532,477.45/9,261.78
  6. Step 6: Final answer
    x = 9,127.02

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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.