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Finding the Fourth Proportional to 9,650.31, 13,318.86 and 6,113.85

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Solution

The fourth proportional to 9,650.31, 13,318.86 and 6,113.85 is: 8,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.31 : 13,318.86 = 6,113.85 : x
  2. Step 2: Convert to fraction form
    9,650.31/13,318.86 = 6,113.85/x
  3. Step 3: Cross multiply
    9,650.31x = 13,318.86 × 6,113.85
  4. Step 4: Simplify right side
    9,650.31x = 81,429,512.21
  5. Step 5: Solve for x
    x = 81,429,512.21/9,650.31
  6. Step 6: Final answer
    x = 8,438.02

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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.