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Finding the Fourth Proportional to 6,332.52, 9,490.52 and 3,407.39

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Solution

The fourth proportional to 6,332.52, 9,490.52 and 3,407.39 is: 5,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.52 : 9,490.52 = 3,407.39 : x
  2. Step 2: Convert to fraction form
    6,332.52/9,490.52 = 3,407.39/x
  3. Step 3: Cross multiply
    6,332.52x = 9,490.52 × 3,407.39
  4. Step 4: Simplify right side
    6,332.52x = 32,337,855.49
  5. Step 5: Solve for x
    x = 32,337,855.49/6,332.52
  6. Step 6: Final answer
    x = 5,106.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.