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Finding the Fourth Proportional to 9,314.76, 12,854.54 and 5,065.91

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Solution

The fourth proportional to 9,314.76, 12,854.54 and 5,065.91 is: 6,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.76 : 12,854.54 = 5,065.91 : x
  2. Step 2: Convert to fraction form
    9,314.76/12,854.54 = 5,065.91/x
  3. Step 3: Cross multiply
    9,314.76x = 12,854.54 × 5,065.91
  4. Step 4: Simplify right side
    9,314.76x = 65,119,853.13
  5. Step 5: Solve for x
    x = 65,119,853.13/9,314.76
  6. Step 6: Final answer
    x = 6,991.04

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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.