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Finding the Fourth Proportional to 6,825.26, 9,419.87 and 6,403.11

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Solution

The fourth proportional to 6,825.26, 9,419.87 and 6,403.11 is: 8,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.26 : 9,419.87 = 6,403.11 : x
  2. Step 2: Convert to fraction form
    6,825.26/9,419.87 = 6,403.11/x
  3. Step 3: Cross multiply
    6,825.26x = 9,419.87 × 6,403.11
  4. Step 4: Simplify right side
    6,825.26x = 60,316,479.80
  5. Step 5: Solve for x
    x = 60,316,479.80/6,825.26
  6. Step 6: Final answer
    x = 8,837.25

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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.