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Finding the Fourth Proportional to 7,081.12, 9,770.16 and 4,286.08

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Solution

The fourth proportional to 7,081.12, 9,770.16 and 4,286.08 is: 5,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.12 : 9,770.16 = 4,286.08 : x
  2. Step 2: Convert to fraction form
    7,081.12/9,770.16 = 4,286.08/x
  3. Step 3: Cross multiply
    7,081.12x = 9,770.16 × 4,286.08
  4. Step 4: Simplify right side
    7,081.12x = 41,875,687.37
  5. Step 5: Solve for x
    x = 41,875,687.37/7,081.12
  6. Step 6: Final answer
    x = 5,913.71

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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.