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Finding the Fourth Proportional to 6,276.20, 9,404.10 and 3,314.48

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Solution

The fourth proportional to 6,276.20, 9,404.10 and 3,314.48 is: 4,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.20 : 9,404.10 = 3,314.48 : x
  2. Step 2: Convert to fraction form
    6,276.20/9,404.10 = 3,314.48/x
  3. Step 3: Cross multiply
    6,276.20x = 9,404.10 × 3,314.48
  4. Step 4: Simplify right side
    6,276.20x = 31,169,654.35
  5. Step 5: Solve for x
    x = 31,169,654.35/6,276.20
  6. Step 6: Final answer
    x = 4,966.33

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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.