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Finding the Fourth Proportional to 6,432.49, 8,872.05 and 4,164.40

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Solution

The fourth proportional to 6,432.49, 8,872.05 and 4,164.40 is: 5,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.49 : 8,872.05 = 4,164.40 : x
  2. Step 2: Convert to fraction form
    6,432.49/8,872.05 = 4,164.40/x
  3. Step 3: Cross multiply
    6,432.49x = 8,872.05 × 4,164.40
  4. Step 4: Simplify right side
    6,432.49x = 36,946,765.02
  5. Step 5: Solve for x
    x = 36,946,765.02/6,432.49
  6. Step 6: Final answer
    x = 5,743.77

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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.