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Finding the Fourth Proportional to 9,311.96, 13,963.48 and 4,377.44

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Solution

The fourth proportional to 9,311.96, 13,963.48 and 4,377.44 is: 6,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.96 : 13,963.48 = 4,377.44 : x
  2. Step 2: Convert to fraction form
    9,311.96/13,963.48 = 4,377.44/x
  3. Step 3: Cross multiply
    9,311.96x = 13,963.48 × 4,377.44
  4. Step 4: Simplify right side
    9,311.96x = 61,124,295.89
  5. Step 5: Solve for x
    x = 61,124,295.89/9,311.96
  6. Step 6: Final answer
    x = 6,564.06

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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.