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Finding the Fourth Proportional to 6,314.09, 8,691.57 and 6,084.50

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Solution

The fourth proportional to 6,314.09, 8,691.57 and 6,084.50 is: 8,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.09 : 8,691.57 = 6,084.50 : x
  2. Step 2: Convert to fraction form
    6,314.09/8,691.57 = 6,084.50/x
  3. Step 3: Cross multiply
    6,314.09x = 8,691.57 × 6,084.50
  4. Step 4: Simplify right side
    6,314.09x = 52,883,814.21
  5. Step 5: Solve for x
    x = 52,883,814.21/6,314.09
  6. Step 6: Final answer
    x = 8,375.53

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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.