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Finding the Fourth Proportional to 6,432.14, 8,876.78 and 3,599.78

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Solution

The fourth proportional to 6,432.14, 8,876.78 and 3,599.78 is: 4,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.14 : 8,876.78 = 3,599.78 : x
  2. Step 2: Convert to fraction form
    6,432.14/8,876.78 = 3,599.78/x
  3. Step 3: Cross multiply
    6,432.14x = 8,876.78 × 3,599.78
  4. Step 4: Simplify right side
    6,432.14x = 31,954,455.11
  5. Step 5: Solve for x
    x = 31,954,455.11/6,432.14
  6. Step 6: Final answer
    x = 4,967.94

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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.