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Finding the Fourth Proportional to 9,617.85, 14,433.24 and 3,377.91

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Solution

The fourth proportional to 9,617.85, 14,433.24 and 3,377.91 is: 5,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.85 : 14,433.24 = 3,377.91 : x
  2. Step 2: Convert to fraction form
    9,617.85/14,433.24 = 3,377.91/x
  3. Step 3: Cross multiply
    9,617.85x = 14,433.24 × 3,377.91
  4. Step 4: Simplify right side
    9,617.85x = 48,754,185.73
  5. Step 5: Solve for x
    x = 48,754,185.73/9,617.85
  6. Step 6: Final answer
    x = 5,069.14

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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.