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Finding the Fourth Proportional to 6,692.52, 9,229.50 and 4,332

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Solution

The fourth proportional to 6,692.52, 9,229.50 and 4,332 is: 5,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.52 : 9,229.50 = 4,332 : x
  2. Step 2: Convert to fraction form
    6,692.52/9,229.50 = 4,332/x
  3. Step 3: Cross multiply
    6,692.52x = 9,229.50 × 4,332
  4. Step 4: Simplify right side
    6,692.52x = 39,982,194
  5. Step 5: Solve for x
    x = 39,982,194/6,692.52
  6. Step 6: Final answer
    x = 5,974.16

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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.