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Finding the Fourth Proportional to 9,763.16, 13,473.18 and 5,286.87

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Solution

The fourth proportional to 9,763.16, 13,473.18 and 5,286.87 is: 7,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.16 : 13,473.18 = 5,286.87 : x
  2. Step 2: Convert to fraction form
    9,763.16/13,473.18 = 5,286.87/x
  3. Step 3: Cross multiply
    9,763.16x = 13,473.18 × 5,286.87
  4. Step 4: Simplify right side
    9,763.16x = 71,230,951.15
  5. Step 5: Solve for x
    x = 71,230,951.15/9,763.16
  6. Step 6: Final answer
    x = 7,295.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.