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Finding the Fourth Proportional to 9,686.38, 14,532.00 and 2,760.88

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Solution

The fourth proportional to 9,686.38, 14,532.00 and 2,760.88 is: 4,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.38 : 14,532.00 = 2,760.88 : x
  2. Step 2: Convert to fraction form
    9,686.38/14,532.00 = 2,760.88/x
  3. Step 3: Cross multiply
    9,686.38x = 14,532.00 × 2,760.88
  4. Step 4: Simplify right side
    9,686.38x = 40,121,021.70
  5. Step 5: Solve for x
    x = 40,121,021.70/9,686.38
  6. Step 6: Final answer
    x = 4,142.01

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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.