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Finding the Fourth Proportional to 9,532.98, 13,126.14 and 8,468.88

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Solution

The fourth proportional to 9,532.98, 13,126.14 and 8,468.88 is: 11,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.98 : 13,126.14 = 8,468.88 : x
  2. Step 2: Convert to fraction form
    9,532.98/13,126.14 = 8,468.88/x
  3. Step 3: Cross multiply
    9,532.98x = 13,126.14 × 8,468.88
  4. Step 4: Simplify right side
    9,532.98x = 111,163,704.52
  5. Step 5: Solve for x
    x = 111,163,704.52/9,532.98
  6. Step 6: Final answer
    x = 11,660.96

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