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Finding the Fourth Proportional to 9,255.18, 12,781.47 and 5,899.57

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Solution

The fourth proportional to 9,255.18, 12,781.47 and 5,899.57 is: 8,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.18 : 12,781.47 = 5,899.57 : x
  2. Step 2: Convert to fraction form
    9,255.18/12,781.47 = 5,899.57/x
  3. Step 3: Cross multiply
    9,255.18x = 12,781.47 × 5,899.57
  4. Step 4: Simplify right side
    9,255.18x = 75,405,176.97
  5. Step 5: Solve for x
    x = 75,405,176.97/9,255.18
  6. Step 6: Final answer
    x = 8,147.35

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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.