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Finding the Fourth Proportional to 9,086.26, 12,543.78 and 6,117.75

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Solution

The fourth proportional to 9,086.26, 12,543.78 and 6,117.75 is: 8,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.26 : 12,543.78 = 6,117.75 : x
  2. Step 2: Convert to fraction form
    9,086.26/12,543.78 = 6,117.75/x
  3. Step 3: Cross multiply
    9,086.26x = 12,543.78 × 6,117.75
  4. Step 4: Simplify right side
    9,086.26x = 76,739,710.10
  5. Step 5: Solve for x
    x = 76,739,710.10/9,086.26
  6. Step 6: Final answer
    x = 8,445.69

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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.