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Finding the Fourth Proportional to 6,432.34, 8,876.34 and 3,780.04

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Solution

The fourth proportional to 6,432.34, 8,876.34 and 3,780.04 is: 5,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.34 : 8,876.34 = 3,780.04 : x
  2. Step 2: Convert to fraction form
    6,432.34/8,876.34 = 3,780.04/x
  3. Step 3: Cross multiply
    6,432.34x = 8,876.34 × 3,780.04
  4. Step 4: Simplify right side
    6,432.34x = 33,552,920.25
  5. Step 5: Solve for x
    x = 33,552,920.25/6,432.34
  6. Step 6: Final answer
    x = 5,216.29

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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.