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Finding the Fourth Proportional to 6,585.71, 9,879.91 and 2,203.20

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Solution

The fourth proportional to 6,585.71, 9,879.91 and 2,203.20 is: 3,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.71 : 9,879.91 = 2,203.20 : x
  2. Step 2: Convert to fraction form
    6,585.71/9,879.91 = 2,203.20/x
  3. Step 3: Cross multiply
    6,585.71x = 9,879.91 × 2,203.20
  4. Step 4: Simplify right side
    6,585.71x = 21,767,447.92
  5. Step 5: Solve for x
    x = 21,767,447.92/6,585.71
  6. Step 6: Final answer
    x = 3,305.26

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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.