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Finding the Fourth Proportional to 6,102.77, 9,151.99 and 2,638.13

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Solution

The fourth proportional to 6,102.77, 9,151.99 and 2,638.13 is: 3,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.77 : 9,151.99 = 2,638.13 : x
  2. Step 2: Convert to fraction form
    6,102.77/9,151.99 = 2,638.13/x
  3. Step 3: Cross multiply
    6,102.77x = 9,151.99 × 2,638.13
  4. Step 4: Simplify right side
    6,102.77x = 24,144,139.38
  5. Step 5: Solve for x
    x = 24,144,139.38/6,102.77
  6. Step 6: Final answer
    x = 3,956.26

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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.