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Finding the Fourth Proportional to 6,127.76, 9,191.68 and 1,745.20

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Solution

The fourth proportional to 6,127.76, 9,191.68 and 1,745.20 is: 2,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.76 : 9,191.68 = 1,745.20 : x
  2. Step 2: Convert to fraction form
    6,127.76/9,191.68 = 1,745.20/x
  3. Step 3: Cross multiply
    6,127.76x = 9,191.68 × 1,745.20
  4. Step 4: Simplify right side
    6,127.76x = 16,041,319.94
  5. Step 5: Solve for x
    x = 16,041,319.94/6,127.76
  6. Step 6: Final answer
    x = 2,617.81

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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.