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Finding the Fourth Proportional to 9,540.88, 14,311.15 and 3,917.32

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Solution

The fourth proportional to 9,540.88, 14,311.15 and 3,917.32 is: 5,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.88 : 14,311.15 = 3,917.32 : x
  2. Step 2: Convert to fraction form
    9,540.88/14,311.15 = 3,917.32/x
  3. Step 3: Cross multiply
    9,540.88x = 14,311.15 × 3,917.32
  4. Step 4: Simplify right side
    9,540.88x = 56,061,308.55
  5. Step 5: Solve for x
    x = 56,061,308.55/9,540.88
  6. Step 6: Final answer
    x = 5,875.91

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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.