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Finding the Fourth Proportional to 9,314.60, 12,854.15 and 5,122.85

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Solution

The fourth proportional to 9,314.60, 12,854.15 and 5,122.85 is: 7,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.60 : 12,854.15 = 5,122.85 : x
  2. Step 2: Convert to fraction form
    9,314.60/12,854.15 = 5,122.85/x
  3. Step 3: Cross multiply
    9,314.60x = 12,854.15 × 5,122.85
  4. Step 4: Simplify right side
    9,314.60x = 65,849,792.44
  5. Step 5: Solve for x
    x = 65,849,792.44/9,314.60
  6. Step 6: Final answer
    x = 7,069.53

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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.