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Finding the Fourth Proportional to 6,339.60, 9,512.10 and 4,001.40

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Solution

The fourth proportional to 6,339.60, 9,512.10 and 4,001.40 is: 6,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.60 : 9,512.10 = 4,001.40 : x
  2. Step 2: Convert to fraction form
    6,339.60/9,512.10 = 4,001.40/x
  3. Step 3: Cross multiply
    6,339.60x = 9,512.10 × 4,001.40
  4. Step 4: Simplify right side
    6,339.60x = 38,061,716.94
  5. Step 5: Solve for x
    x = 38,061,716.94/6,339.60
  6. Step 6: Final answer
    x = 6,003.80

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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.