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Finding the Fourth Proportional to 8,971.46, 12,380.69 and 5,432.21

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Solution

The fourth proportional to 8,971.46, 12,380.69 and 5,432.21 is: 7,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.46 : 12,380.69 = 5,432.21 : x
  2. Step 2: Convert to fraction form
    8,971.46/12,380.69 = 5,432.21/x
  3. Step 3: Cross multiply
    8,971.46x = 12,380.69 × 5,432.21
  4. Step 4: Simplify right side
    8,971.46x = 67,254,480.86
  5. Step 5: Solve for x
    x = 67,254,480.86/8,971.46
  6. Step 6: Final answer
    x = 7,496.49

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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.