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Finding the Fourth Proportional to 6,734.24, 9,292.16 and 3,901.87

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Solution

The fourth proportional to 6,734.24, 9,292.16 and 3,901.87 is: 5,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.24 : 9,292.16 = 3,901.87 : x
  2. Step 2: Convert to fraction form
    6,734.24/9,292.16 = 3,901.87/x
  3. Step 3: Cross multiply
    6,734.24x = 9,292.16 × 3,901.87
  4. Step 4: Simplify right side
    6,734.24x = 36,256,800.34
  5. Step 5: Solve for x
    x = 36,256,800.34/6,734.24
  6. Step 6: Final answer
    x = 5,383.95

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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.