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Finding the Fourth Proportional to 6,356.73, 9,535.74 and 2,660.13

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Solution

The fourth proportional to 6,356.73, 9,535.74 and 2,660.13 is: 3,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.73 : 9,535.74 = 2,660.13 : x
  2. Step 2: Convert to fraction form
    6,356.73/9,535.74 = 2,660.13/x
  3. Step 3: Cross multiply
    6,356.73x = 9,535.74 × 2,660.13
  4. Step 4: Simplify right side
    6,356.73x = 25,366,308.05
  5. Step 5: Solve for x
    x = 25,366,308.05/6,356.73
  6. Step 6: Final answer
    x = 3,990.46

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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.