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Finding the Fourth Proportional to 9,960.87, 13,747.32 and 6,434.34

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Solution

The fourth proportional to 9,960.87, 13,747.32 and 6,434.34 is: 8,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.87 : 13,747.32 = 6,434.34 : x
  2. Step 2: Convert to fraction form
    9,960.87/13,747.32 = 6,434.34/x
  3. Step 3: Cross multiply
    9,960.87x = 13,747.32 × 6,434.34
  4. Step 4: Simplify right side
    9,960.87x = 88,454,879.42
  5. Step 5: Solve for x
    x = 88,454,879.42/9,960.87
  6. Step 6: Final answer
    x = 8,880.23

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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.