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Finding the Fourth Proportional to 9,838.24, 14,757.54 and 3,264.46

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Solution

The fourth proportional to 9,838.24, 14,757.54 and 3,264.46 is: 4,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.24 : 14,757.54 = 3,264.46 : x
  2. Step 2: Convert to fraction form
    9,838.24/14,757.54 = 3,264.46/x
  3. Step 3: Cross multiply
    9,838.24x = 14,757.54 × 3,264.46
  4. Step 4: Simplify right side
    9,838.24x = 48,175,399.03
  5. Step 5: Solve for x
    x = 48,175,399.03/9,838.24
  6. Step 6: Final answer
    x = 4,896.75

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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.