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Finding the Fourth Proportional to 6,882.12, 9,496.44 and 4,051.08

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Solution

The fourth proportional to 6,882.12, 9,496.44 and 4,051.08 is: 5,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.12 : 9,496.44 = 4,051.08 : x
  2. Step 2: Convert to fraction form
    6,882.12/9,496.44 = 4,051.08/x
  3. Step 3: Cross multiply
    6,882.12x = 9,496.44 × 4,051.08
  4. Step 4: Simplify right side
    6,882.12x = 38,470,838.16
  5. Step 5: Solve for x
    x = 38,470,838.16/6,882.12
  6. Step 6: Final answer
    x = 5,589.97

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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.