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Finding the Fourth Proportional to 8,427.41, 12,642.74 and 3,232.88

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Solution

The fourth proportional to 8,427.41, 12,642.74 and 3,232.88 is: 4,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.41 : 12,642.74 = 3,232.88 : x
  2. Step 2: Convert to fraction form
    8,427.41/12,642.74 = 3,232.88/x
  3. Step 3: Cross multiply
    8,427.41x = 12,642.74 × 3,232.88
  4. Step 4: Simplify right side
    8,427.41x = 40,872,381.91
  5. Step 5: Solve for x
    x = 40,872,381.91/8,427.41
  6. Step 6: Final answer
    x = 4,849.94

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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.