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Finding the Fourth Proportional to 6,458.40, 9,687.60 and 6,276.15

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Solution

The fourth proportional to 6,458.40, 9,687.60 and 6,276.15 is: 9,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.40 : 9,687.60 = 6,276.15 : x
  2. Step 2: Convert to fraction form
    6,458.40/9,687.60 = 6,276.15/x
  3. Step 3: Cross multiply
    6,458.40x = 9,687.60 × 6,276.15
  4. Step 4: Simplify right side
    6,458.40x = 60,800,830.74
  5. Step 5: Solve for x
    x = 60,800,830.74/6,458.40
  6. Step 6: Final answer
    x = 9,414.23

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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.