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Finding the Fourth Proportional to 9,085.14, 12,534.39 and 5,679.86

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Solution

The fourth proportional to 9,085.14, 12,534.39 and 5,679.86 is: 7,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.14 : 12,534.39 = 5,679.86 : x
  2. Step 2: Convert to fraction form
    9,085.14/12,534.39 = 5,679.86/x
  3. Step 3: Cross multiply
    9,085.14x = 12,534.39 × 5,679.86
  4. Step 4: Simplify right side
    9,085.14x = 71,193,517.71
  5. Step 5: Solve for x
    x = 71,193,517.71/9,085.14
  6. Step 6: Final answer
    x = 7,836.26

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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.