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Finding the Fourth Proportional to 6,315.82, 9,474.16 and 2,154.74

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Solution

The fourth proportional to 6,315.82, 9,474.16 and 2,154.74 is: 3,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.82 : 9,474.16 = 2,154.74 : x
  2. Step 2: Convert to fraction form
    6,315.82/9,474.16 = 2,154.74/x
  3. Step 3: Cross multiply
    6,315.82x = 9,474.16 × 2,154.74
  4. Step 4: Simplify right side
    6,315.82x = 20,414,351.52
  5. Step 5: Solve for x
    x = 20,414,351.52/6,315.82
  6. Step 6: Final answer
    x = 3,232.26

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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.