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Finding the Fourth Proportional to 9,331.60, 12,877.74 and 5,082.86

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Solution

The fourth proportional to 9,331.60, 12,877.74 and 5,082.86 is: 7,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.60 : 12,877.74 = 5,082.86 : x
  2. Step 2: Convert to fraction form
    9,331.60/12,877.74 = 5,082.86/x
  3. Step 3: Cross multiply
    9,331.60x = 12,877.74 × 5,082.86
  4. Step 4: Simplify right side
    9,331.60x = 65,455,685.15
  5. Step 5: Solve for x
    x = 65,455,685.15/9,331.60
  6. Step 6: Final answer
    x = 7,014.42

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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.