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Finding the Fourth Proportional to 6,377.81, 9,569.14 and 5,759.37

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Solution

The fourth proportional to 6,377.81, 9,569.14 and 5,759.37 is: 8,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.81 : 9,569.14 = 5,759.37 : x
  2. Step 2: Convert to fraction form
    6,377.81/9,569.14 = 5,759.37/x
  3. Step 3: Cross multiply
    6,377.81x = 9,569.14 × 5,759.37
  4. Step 4: Simplify right side
    6,377.81x = 55,112,189.04
  5. Step 5: Solve for x
    x = 55,112,189.04/6,377.81
  6. Step 6: Final answer
    x = 8,641.25

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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.