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Finding the Fourth Proportional to 6,918.92, 9,524.09 and 5,237.36

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Solution

The fourth proportional to 6,918.92, 9,524.09 and 5,237.36 is: 7,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.92 : 9,524.09 = 5,237.36 : x
  2. Step 2: Convert to fraction form
    6,918.92/9,524.09 = 5,237.36/x
  3. Step 3: Cross multiply
    6,918.92x = 9,524.09 × 5,237.36
  4. Step 4: Simplify right side
    6,918.92x = 49,881,053.48
  5. Step 5: Solve for x
    x = 49,881,053.48/6,918.92
  6. Step 6: Final answer
    x = 7,209.38

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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.