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Finding the Fourth Proportional to 9,250.44, 12,765.36 and 5,272.16

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Solution

The fourth proportional to 9,250.44, 12,765.36 and 5,272.16 is: 7,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.44 : 12,765.36 = 5,272.16 : x
  2. Step 2: Convert to fraction form
    9,250.44/12,765.36 = 5,272.16/x
  3. Step 3: Cross multiply
    9,250.44x = 12,765.36 × 5,272.16
  4. Step 4: Simplify right side
    9,250.44x = 67,301,020.38
  5. Step 5: Solve for x
    x = 67,301,020.38/9,250.44
  6. Step 6: Final answer
    x = 7,275.44

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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.