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Finding the Fourth Proportional to 9,314.60, 12,854.77 and 5,123.12

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Solution

The fourth proportional to 9,314.60, 12,854.77 and 5,123.12 is: 7,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.60 : 12,854.77 = 5,123.12 : x
  2. Step 2: Convert to fraction form
    9,314.60/12,854.77 = 5,123.12/x
  3. Step 3: Cross multiply
    9,314.60x = 12,854.77 × 5,123.12
  4. Step 4: Simplify right side
    9,314.60x = 65,856,452.20
  5. Step 5: Solve for x
    x = 65,856,452.20/9,314.60
  6. Step 6: Final answer
    x = 7,070.24

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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.