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Finding the Fourth Proportional to 9,116.26, 12,580.98 and 6,086.18

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Solution

The fourth proportional to 9,116.26, 12,580.98 and 6,086.18 is: 8,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.26 : 12,580.98 = 6,086.18 : x
  2. Step 2: Convert to fraction form
    9,116.26/12,580.98 = 6,086.18/x
  3. Step 3: Cross multiply
    9,116.26x = 12,580.98 × 6,086.18
  4. Step 4: Simplify right side
    9,116.26x = 76,570,108.86
  5. Step 5: Solve for x
    x = 76,570,108.86/9,116.26
  6. Step 6: Final answer
    x = 8,399.29

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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.