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Finding the Fourth Proportional to 6,494.18, 9,741.33 and 2,337.15

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Solution

The fourth proportional to 6,494.18, 9,741.33 and 2,337.15 is: 3,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.18 : 9,741.33 = 2,337.15 : x
  2. Step 2: Convert to fraction form
    6,494.18/9,741.33 = 2,337.15/x
  3. Step 3: Cross multiply
    6,494.18x = 9,741.33 × 2,337.15
  4. Step 4: Simplify right side
    6,494.18x = 22,766,985.94
  5. Step 5: Solve for x
    x = 22,766,985.94/6,494.18
  6. Step 6: Final answer
    x = 3,505.75

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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.