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Finding the Fourth Proportional to 6,502.80, 9,732.36 and 5,409.36

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Solution

The fourth proportional to 6,502.80, 9,732.36 and 5,409.36 is: 8,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.80 : 9,732.36 = 5,409.36 : x
  2. Step 2: Convert to fraction form
    6,502.80/9,732.36 = 5,409.36/x
  3. Step 3: Cross multiply
    6,502.80x = 9,732.36 × 5,409.36
  4. Step 4: Simplify right side
    6,502.80x = 52,645,838.89
  5. Step 5: Solve for x
    x = 52,645,838.89/6,502.80
  6. Step 6: Final answer
    x = 8,095.87

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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.