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Finding the Fourth Proportional to 9,224.92, 13,833.12 and 2,649.52

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Solution

The fourth proportional to 9,224.92, 13,833.12 and 2,649.52 is: 3,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.92 : 13,833.12 = 2,649.52 : x
  2. Step 2: Convert to fraction form
    9,224.92/13,833.12 = 2,649.52/x
  3. Step 3: Cross multiply
    9,224.92x = 13,833.12 × 2,649.52
  4. Step 4: Simplify right side
    9,224.92x = 36,651,128.10
  5. Step 5: Solve for x
    x = 36,651,128.10/9,224.92
  6. Step 6: Final answer
    x = 3,973.06

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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.