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Finding the Fourth Proportional to 9,394, 12,963.72 and 5,202.52

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Solution

The fourth proportional to 9,394, 12,963.72 and 5,202.52 is: 7,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394 : 12,963.72 = 5,202.52 : x
  2. Step 2: Convert to fraction form
    9,394/12,963.72 = 5,202.52/x
  3. Step 3: Cross multiply
    9,394x = 12,963.72 × 5,202.52
  4. Step 4: Simplify right side
    9,394x = 67,444,012.57
  5. Step 5: Solve for x
    x = 67,444,012.57/9,394
  6. Step 6: Final answer
    x = 7,179.48

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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.