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Finding the Fourth Proportional to 6,314.69, 8,718.00 and 5,614.13

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Solution

The fourth proportional to 6,314.69, 8,718.00 and 5,614.13 is: 7,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.69 : 8,718.00 = 5,614.13 : x
  2. Step 2: Convert to fraction form
    6,314.69/8,718.00 = 5,614.13/x
  3. Step 3: Cross multiply
    6,314.69x = 8,718.00 × 5,614.13
  4. Step 4: Simplify right side
    6,314.69x = 48,943,962.80
  5. Step 5: Solve for x
    x = 48,943,962.80/6,314.69
  6. Step 6: Final answer
    x = 7,750.81

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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.