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Finding the Fourth Proportional to 6,581.09, 9,081.02 and 4,226.42

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Solution

The fourth proportional to 6,581.09, 9,081.02 and 4,226.42 is: 5,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.09 : 9,081.02 = 4,226.42 : x
  2. Step 2: Convert to fraction form
    6,581.09/9,081.02 = 4,226.42/x
  3. Step 3: Cross multiply
    6,581.09x = 9,081.02 × 4,226.42
  4. Step 4: Simplify right side
    6,581.09x = 38,380,138.01
  5. Step 5: Solve for x
    x = 38,380,138.01/6,581.09
  6. Step 6: Final answer
    x = 5,831.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.