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Finding the Fourth Proportional to 6,432.81, 8,875.82 and 4,073.60

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Solution

The fourth proportional to 6,432.81, 8,875.82 and 4,073.60 is: 5,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.81 : 8,875.82 = 4,073.60 : x
  2. Step 2: Convert to fraction form
    6,432.81/8,875.82 = 4,073.60/x
  3. Step 3: Cross multiply
    6,432.81x = 8,875.82 × 4,073.60
  4. Step 4: Simplify right side
    6,432.81x = 36,156,475.60
  5. Step 5: Solve for x
    x = 36,156,475.60/6,432.81
  6. Step 6: Final answer
    x = 5,620.63

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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.