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Finding the Fourth Proportional to 6,862.41, 9,465.26 and 5,809.91

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Solution

The fourth proportional to 6,862.41, 9,465.26 and 5,809.91 is: 8,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.41 : 9,465.26 = 5,809.91 : x
  2. Step 2: Convert to fraction form
    6,862.41/9,465.26 = 5,809.91/x
  3. Step 3: Cross multiply
    6,862.41x = 9,465.26 × 5,809.91
  4. Step 4: Simplify right side
    6,862.41x = 54,992,232.35
  5. Step 5: Solve for x
    x = 54,992,232.35/6,862.41
  6. Step 6: Final answer
    x = 8,013.55

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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.