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Finding the Fourth Proportional to 6,432.96, 8,875.92 and 3,780.48

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Solution

The fourth proportional to 6,432.96, 8,875.92 and 3,780.48 is: 5,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.96 : 8,875.92 = 3,780.48 : x
  2. Step 2: Convert to fraction form
    6,432.96/8,875.92 = 3,780.48/x
  3. Step 3: Cross multiply
    6,432.96x = 8,875.92 × 3,780.48
  4. Step 4: Simplify right side
    6,432.96x = 33,555,238.04
  5. Step 5: Solve for x
    x = 33,555,238.04/6,432.96
  6. Step 6: Final answer
    x = 5,216.14

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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.