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Finding the Fourth Proportional to 9,532.48, 14,233.52 and 8,538.88

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Solution

The fourth proportional to 9,532.48, 14,233.52 and 8,538.88 is: 12,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.48 : 14,233.52 = 8,538.88 : x
  2. Step 2: Convert to fraction form
    9,532.48/14,233.52 = 8,538.88/x
  3. Step 3: Cross multiply
    9,532.48x = 14,233.52 × 8,538.88
  4. Step 4: Simplify right side
    9,532.48x = 121,538,319.26
  5. Step 5: Solve for x
    x = 121,538,319.26/9,532.48
  6. Step 6: Final answer
    x = 12,749.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.