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Finding the Fourth Proportional to 9,498, 13,107.24 and 5,306.34

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Solution

The fourth proportional to 9,498, 13,107.24 and 5,306.34 is: 7,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498 : 13,107.24 = 5,306.34 : x
  2. Step 2: Convert to fraction form
    9,498/13,107.24 = 5,306.34/x
  3. Step 3: Cross multiply
    9,498x = 13,107.24 × 5,306.34
  4. Step 4: Simplify right side
    9,498x = 69,551,471.90
  5. Step 5: Solve for x
    x = 69,551,471.90/9,498
  6. Step 6: Final answer
    x = 7,322.75

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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.