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Finding the Fourth Proportional to 9,314.62, 12,854.28 and 5,065.68

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Solution

The fourth proportional to 9,314.62, 12,854.28 and 5,065.68 is: 6,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.62 : 12,854.28 = 5,065.68 : x
  2. Step 2: Convert to fraction form
    9,314.62/12,854.28 = 5,065.68/x
  3. Step 3: Cross multiply
    9,314.62x = 12,854.28 × 5,065.68
  4. Step 4: Simplify right side
    9,314.62x = 65,115,669.11
  5. Step 5: Solve for x
    x = 65,115,669.11/9,314.62
  6. Step 6: Final answer
    x = 6,990.70

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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.