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Finding the Fourth Proportional to 6,314.70, 9,452.61 and 5,925.90

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Solution

The fourth proportional to 6,314.70, 9,452.61 and 5,925.90 is: 8,870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.70 : 9,452.61 = 5,925.90 : x
  2. Step 2: Convert to fraction form
    6,314.70/9,452.61 = 5,925.90/x
  3. Step 3: Cross multiply
    6,314.70x = 9,452.61 × 5,925.90
  4. Step 4: Simplify right side
    6,314.70x = 56,015,221.60
  5. Step 5: Solve for x
    x = 56,015,221.60/6,314.70
  6. Step 6: Final answer
    x = 8,870.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.