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Finding the Fourth Proportional to 6,738.60, 9,294.30 and 4,499.40

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Solution

The fourth proportional to 6,738.60, 9,294.30 and 4,499.40 is: 6,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.60 : 9,294.30 = 4,499.40 : x
  2. Step 2: Convert to fraction form
    6,738.60/9,294.30 = 4,499.40/x
  3. Step 3: Cross multiply
    6,738.60x = 9,294.30 × 4,499.40
  4. Step 4: Simplify right side
    6,738.60x = 41,818,773.42
  5. Step 5: Solve for x
    x = 41,818,773.42/6,738.60
  6. Step 6: Final answer
    x = 6,205.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.