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Finding the Fourth Proportional to 9,024.01, 13,532.15 and 3,101.49

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Solution

The fourth proportional to 9,024.01, 13,532.15 and 3,101.49 is: 4,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.01 : 13,532.15 = 3,101.49 : x
  2. Step 2: Convert to fraction form
    9,024.01/13,532.15 = 3,101.49/x
  3. Step 3: Cross multiply
    9,024.01x = 13,532.15 × 3,101.49
  4. Step 4: Simplify right side
    9,024.01x = 41,969,827.90
  5. Step 5: Solve for x
    x = 41,969,827.90/9,024.01
  6. Step 6: Final answer
    x = 4,650.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.