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Finding the Fourth Proportional to 6,314.60, 9,461.42 and 3,841.94

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Solution

The fourth proportional to 6,314.60, 9,461.42 and 3,841.94 is: 5,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.60 : 9,461.42 = 3,841.94 : x
  2. Step 2: Convert to fraction form
    6,314.60/9,461.42 = 3,841.94/x
  3. Step 3: Cross multiply
    6,314.60x = 9,461.42 × 3,841.94
  4. Step 4: Simplify right side
    6,314.60x = 36,350,207.95
  5. Step 5: Solve for x
    x = 36,350,207.95/6,314.60
  6. Step 6: Final answer
    x = 5,756.53

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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.