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Finding the Fourth Proportional to 6,272.68, 9,409.14 and 2,111.92

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Solution

The fourth proportional to 6,272.68, 9,409.14 and 2,111.92 is: 3,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.68 : 9,409.14 = 2,111.92 : x
  2. Step 2: Convert to fraction form
    6,272.68/9,409.14 = 2,111.92/x
  3. Step 3: Cross multiply
    6,272.68x = 9,409.14 × 2,111.92
  4. Step 4: Simplify right side
    6,272.68x = 19,871,350.95
  5. Step 5: Solve for x
    x = 19,871,350.95/6,272.68
  6. Step 6: Final answer
    x = 3,167.92

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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.