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Finding the Fourth Proportional to 6,593.77, 9,886.20 and 3,470.47

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Solution

The fourth proportional to 6,593.77, 9,886.20 and 3,470.47 is: 5,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.77 : 9,886.20 = 3,470.47 : x
  2. Step 2: Convert to fraction form
    6,593.77/9,886.20 = 3,470.47/x
  3. Step 3: Cross multiply
    6,593.77x = 9,886.20 × 3,470.47
  4. Step 4: Simplify right side
    6,593.77x = 34,309,722.78
  5. Step 5: Solve for x
    x = 34,309,722.78/6,593.77
  6. Step 6: Final answer
    x = 5,203.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.