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Finding the Fourth Proportional to 6,231.52, 9,341.52 and 2,332.96

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Solution

The fourth proportional to 6,231.52, 9,341.52 and 2,332.96 is: 3,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.52 : 9,341.52 = 2,332.96 : x
  2. Step 2: Convert to fraction form
    6,231.52/9,341.52 = 2,332.96/x
  3. Step 3: Cross multiply
    6,231.52x = 9,341.52 × 2,332.96
  4. Step 4: Simplify right side
    6,231.52x = 21,793,392.50
  5. Step 5: Solve for x
    x = 21,793,392.50/6,231.52
  6. Step 6: Final answer
    x = 3,497.28

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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.