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Finding the Fourth Proportional to 9,934.85, 13,706.18 and 6,400.11

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Solution

The fourth proportional to 9,934.85, 13,706.18 and 6,400.11 is: 8,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.85 : 13,706.18 = 6,400.11 : x
  2. Step 2: Convert to fraction form
    9,934.85/13,706.18 = 6,400.11/x
  3. Step 3: Cross multiply
    9,934.85x = 13,706.18 × 6,400.11
  4. Step 4: Simplify right side
    9,934.85x = 87,721,059.68
  5. Step 5: Solve for x
    x = 87,721,059.68/9,934.85
  6. Step 6: Final answer
    x = 8,829.63

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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.