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Finding the Fourth Proportional to 9,767.49, 14,650.02 and 3,922.13

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Solution

The fourth proportional to 9,767.49, 14,650.02 and 3,922.13 is: 5,882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.49 : 14,650.02 = 3,922.13 : x
  2. Step 2: Convert to fraction form
    9,767.49/14,650.02 = 3,922.13/x
  3. Step 3: Cross multiply
    9,767.49x = 14,650.02 × 3,922.13
  4. Step 4: Simplify right side
    9,767.49x = 57,459,209.69
  5. Step 5: Solve for x
    x = 57,459,209.69/9,767.49
  6. Step 6: Final answer
    x = 5,882.70

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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.