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Finding the Fourth Proportional to 6,586.16, 9,879.23 and 2,203.92

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Solution

The fourth proportional to 6,586.16, 9,879.23 and 2,203.92 is: 3,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.16 : 9,879.23 = 2,203.92 : x
  2. Step 2: Convert to fraction form
    6,586.16/9,879.23 = 2,203.92/x
  3. Step 3: Cross multiply
    6,586.16x = 9,879.23 × 2,203.92
  4. Step 4: Simplify right side
    6,586.16x = 21,773,032.58
  5. Step 5: Solve for x
    x = 21,773,032.58/6,586.16
  6. Step 6: Final answer
    x = 3,305.88

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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.