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Finding the Fourth Proportional to 6,294.14, 9,445.47 and 2,398.45

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Solution

The fourth proportional to 6,294.14, 9,445.47 and 2,398.45 is: 3,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.14 : 9,445.47 = 2,398.45 : x
  2. Step 2: Convert to fraction form
    6,294.14/9,445.47 = 2,398.45/x
  3. Step 3: Cross multiply
    6,294.14x = 9,445.47 × 2,398.45
  4. Step 4: Simplify right side
    6,294.14x = 22,654,487.52
  5. Step 5: Solve for x
    x = 22,654,487.52/6,294.14
  6. Step 6: Final answer
    x = 3,599.30

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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.