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Finding the Fourth Proportional to 6,333.20, 9,490.68 and 4,654.13

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Solution

The fourth proportional to 6,333.20, 9,490.68 and 4,654.13 is: 6,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.20 : 9,490.68 = 4,654.13 : x
  2. Step 2: Convert to fraction form
    6,333.20/9,490.68 = 4,654.13/x
  3. Step 3: Cross multiply
    6,333.20x = 9,490.68 × 4,654.13
  4. Step 4: Simplify right side
    6,333.20x = 44,170,811.06
  5. Step 5: Solve for x
    x = 44,170,811.06/6,333.20
  6. Step 6: Final answer
    x = 6,974.49

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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.