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Finding the Fourth Proportional to 9,758.38, 13,466.60 and 5,282.14

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Solution

The fourth proportional to 9,758.38, 13,466.60 and 5,282.14 is: 7,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.38 : 13,466.60 = 5,282.14 : x
  2. Step 2: Convert to fraction form
    9,758.38/13,466.60 = 5,282.14/x
  3. Step 3: Cross multiply
    9,758.38x = 13,466.60 × 5,282.14
  4. Step 4: Simplify right side
    9,758.38x = 71,132,466.52
  5. Step 5: Solve for x
    x = 71,132,466.52/9,758.38
  6. Step 6: Final answer
    x = 7,289.37

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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.