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Finding the Fourth Proportional to 6,851.32, 9,446.02 and 5,591.10

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Solution

The fourth proportional to 6,851.32, 9,446.02 and 5,591.10 is: 7,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.32 : 9,446.02 = 5,591.10 : x
  2. Step 2: Convert to fraction form
    6,851.32/9,446.02 = 5,591.10/x
  3. Step 3: Cross multiply
    6,851.32x = 9,446.02 × 5,591.10
  4. Step 4: Simplify right side
    6,851.32x = 52,813,642.42
  5. Step 5: Solve for x
    x = 52,813,642.42/6,851.32
  6. Step 6: Final answer
    x = 7,708.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.