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Finding the Fourth Proportional to 6,491.55, 9,737.32 and 1,561.19

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Solution

The fourth proportional to 6,491.55, 9,737.32 and 1,561.19 is: 2,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.55 : 9,737.32 = 1,561.19 : x
  2. Step 2: Convert to fraction form
    6,491.55/9,737.32 = 1,561.19/x
  3. Step 3: Cross multiply
    6,491.55x = 9,737.32 × 1,561.19
  4. Step 4: Simplify right side
    6,491.55x = 15,201,778.36
  5. Step 5: Solve for x
    x = 15,201,778.36/6,491.55
  6. Step 6: Final answer
    x = 2,341.78

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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.