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Finding the Fourth Proportional to 8,301.88, 12,432.30 and 6,188.43

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Solution

The fourth proportional to 8,301.88, 12,432.30 and 6,188.43 is: 9,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.88 : 12,432.30 = 6,188.43 : x
  2. Step 2: Convert to fraction form
    8,301.88/12,432.30 = 6,188.43/x
  3. Step 3: Cross multiply
    8,301.88x = 12,432.30 × 6,188.43
  4. Step 4: Simplify right side
    8,301.88x = 76,936,418.29
  5. Step 5: Solve for x
    x = 76,936,418.29/8,301.88
  6. Step 6: Final answer
    x = 9,267.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.