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Finding the Fourth Proportional to 6,432.32, 8,877.12 and 3,638.24

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Solution

The fourth proportional to 6,432.32, 8,877.12 and 3,638.24 is: 5,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.32 : 8,877.12 = 3,638.24 : x
  2. Step 2: Convert to fraction form
    6,432.32/8,877.12 = 3,638.24/x
  3. Step 3: Cross multiply
    6,432.32x = 8,877.12 × 3,638.24
  4. Step 4: Simplify right side
    6,432.32x = 32,297,093.07
  5. Step 5: Solve for x
    x = 32,297,093.07/6,432.32
  6. Step 6: Final answer
    x = 5,021.06

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Why These Related Problems?

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