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Finding the Fourth Proportional to 9,617.92, 14,417.49 and 4,940.17

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Solution

The fourth proportional to 9,617.92, 14,417.49 and 4,940.17 is: 7,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.92 : 14,417.49 = 4,940.17 : x
  2. Step 2: Convert to fraction form
    9,617.92/14,417.49 = 4,940.17/x
  3. Step 3: Cross multiply
    9,617.92x = 14,417.49 × 4,940.17
  4. Step 4: Simplify right side
    9,617.92x = 71,224,851.57
  5. Step 5: Solve for x
    x = 71,224,851.57/9,617.92
  6. Step 6: Final answer
    x = 7,405.43

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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.