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Finding the Fourth Proportional to 9,449.38, 13,040.95 and 5,201.28

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Solution

The fourth proportional to 9,449.38, 13,040.95 and 5,201.28 is: 7,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.38 : 13,040.95 = 5,201.28 : x
  2. Step 2: Convert to fraction form
    9,449.38/13,040.95 = 5,201.28/x
  3. Step 3: Cross multiply
    9,449.38x = 13,040.95 × 5,201.28
  4. Step 4: Simplify right side
    9,449.38x = 67,829,629.17
  5. Step 5: Solve for x
    x = 67,829,629.17/9,449.38
  6. Step 6: Final answer
    x = 7,178.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.