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Finding the Fourth Proportional to 7,068.68, 9,754.86 and 3,882.14

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Solution

The fourth proportional to 7,068.68, 9,754.86 and 3,882.14 is: 5,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.68 : 9,754.86 = 3,882.14 : x
  2. Step 2: Convert to fraction form
    7,068.68/9,754.86 = 3,882.14/x
  3. Step 3: Cross multiply
    7,068.68x = 9,754.86 × 3,882.14
  4. Step 4: Simplify right side
    7,068.68x = 37,869,732.20
  5. Step 5: Solve for x
    x = 37,869,732.20/7,068.68
  6. Step 6: Final answer
    x = 5,357.40

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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.