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Finding the Fourth Proportional to 6,585.89, 9,879.37 and 2,203.38

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Solution

The fourth proportional to 6,585.89, 9,879.37 and 2,203.38 is: 3,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.89 : 9,879.37 = 2,203.38 : x
  2. Step 2: Convert to fraction form
    6,585.89/9,879.37 = 2,203.38/x
  3. Step 3: Cross multiply
    6,585.89x = 9,879.37 × 2,203.38
  4. Step 4: Simplify right side
    6,585.89x = 21,768,036.48
  5. Step 5: Solve for x
    x = 21,768,036.48/6,585.89
  6. Step 6: Final answer
    x = 3,305.25

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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.