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Finding the Fourth Proportional to 9,635.28, 14,478.52 and 9,013.20

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Solution

The fourth proportional to 9,635.28, 14,478.52 and 9,013.20 is: 13,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.28 : 14,478.52 = 9,013.20 : x
  2. Step 2: Convert to fraction form
    9,635.28/14,478.52 = 9,013.20/x
  3. Step 3: Cross multiply
    9,635.28x = 14,478.52 × 9,013.20
  4. Step 4: Simplify right side
    9,635.28x = 130,497,796.46
  5. Step 5: Solve for x
    x = 130,497,796.46/9,635.28
  6. Step 6: Final answer
    x = 13,543.75

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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.