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Finding the Fourth Proportional to 6,495.38, 9,737.20 and 2,334.41

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Solution

The fourth proportional to 6,495.38, 9,737.20 and 2,334.41 is: 3,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.38 : 9,737.20 = 2,334.41 : x
  2. Step 2: Convert to fraction form
    6,495.38/9,737.20 = 2,334.41/x
  3. Step 3: Cross multiply
    6,495.38x = 9,737.20 × 2,334.41
  4. Step 4: Simplify right side
    6,495.38x = 22,730,617.05
  5. Step 5: Solve for x
    x = 22,730,617.05/6,495.38
  6. Step 6: Final answer
    x = 3,499.51

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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.