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Finding the Fourth Proportional to 6,082.77, 9,117.48 and 2,380.93

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Solution

The fourth proportional to 6,082.77, 9,117.48 and 2,380.93 is: 3,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.77 : 9,117.48 = 2,380.93 : x
  2. Step 2: Convert to fraction form
    6,082.77/9,117.48 = 2,380.93/x
  3. Step 3: Cross multiply
    6,082.77x = 9,117.48 × 2,380.93
  4. Step 4: Simplify right side
    6,082.77x = 21,708,036.07
  5. Step 5: Solve for x
    x = 21,708,036.07/6,082.77
  6. Step 6: Final answer
    x = 3,568.78

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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.