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Finding the Fourth Proportional to 6,825.65, 9,419.70 and 3,841.68

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Solution

The fourth proportional to 6,825.65, 9,419.70 and 3,841.68 is: 5,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.65 : 9,419.70 = 3,841.68 : x
  2. Step 2: Convert to fraction form
    6,825.65/9,419.70 = 3,841.68/x
  3. Step 3: Cross multiply
    6,825.65x = 9,419.70 × 3,841.68
  4. Step 4: Simplify right side
    6,825.65x = 36,187,459.04
  5. Step 5: Solve for x
    x = 36,187,459.04/6,825.65
  6. Step 6: Final answer
    x = 5,301.69

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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.