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Finding the Fourth Proportional to 6,239.52, 9,407.16 and 5,816.52

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Solution

The fourth proportional to 6,239.52, 9,407.16 and 5,816.52 is: 8,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.52 : 9,407.16 = 5,816.52 : x
  2. Step 2: Convert to fraction form
    6,239.52/9,407.16 = 5,816.52/x
  3. Step 3: Cross multiply
    6,239.52x = 9,407.16 × 5,816.52
  4. Step 4: Simplify right side
    6,239.52x = 54,716,934.28
  5. Step 5: Solve for x
    x = 54,716,934.28/6,239.52
  6. Step 6: Final answer
    x = 8,769.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.