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Finding the Fourth Proportional to 9,633.28, 14,475.52 and 9,011.20

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Solution

The fourth proportional to 9,633.28, 14,475.52 and 9,011.20 is: 13,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.28 : 14,475.52 = 9,011.20 : x
  2. Step 2: Convert to fraction form
    9,633.28/14,475.52 = 9,011.20/x
  3. Step 3: Cross multiply
    9,633.28x = 14,475.52 × 9,011.20
  4. Step 4: Simplify right side
    9,633.28x = 130,441,805.82
  5. Step 5: Solve for x
    x = 130,441,805.82/9,633.28
  6. Step 6: Final answer
    x = 13,540.75

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