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Finding the Fourth Proportional to 9,314.08, 12,853.69 and 5,065.43

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Solution

The fourth proportional to 9,314.08, 12,853.69 and 5,065.43 is: 6,990.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.08 : 12,853.69 = 5,065.43 : x
  2. Step 2: Convert to fraction form
    9,314.08/12,853.69 = 5,065.43/x
  3. Step 3: Cross multiply
    9,314.08x = 12,853.69 × 5,065.43
  4. Step 4: Simplify right side
    9,314.08x = 65,109,390.00
  5. Step 5: Solve for x
    x = 65,109,390.00/9,314.08
  6. Step 6: Final answer
    x = 6,990.43

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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.