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Finding the Fourth Proportional to 9,759.38, 13,467.98 and 5,283.14

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Solution

The fourth proportional to 9,759.38, 13,467.98 and 5,283.14 is: 7,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.38 : 13,467.98 = 5,283.14 : x
  2. Step 2: Convert to fraction form
    9,759.38/13,467.98 = 5,283.14/x
  3. Step 3: Cross multiply
    9,759.38x = 13,467.98 × 5,283.14
  4. Step 4: Simplify right side
    9,759.38x = 71,153,223.86
  5. Step 5: Solve for x
    x = 71,153,223.86/9,759.38
  6. Step 6: Final answer
    x = 7,290.75

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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.