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Finding the Fourth Proportional to 6,824.25, 9,419.29 and 4,469.58

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Solution

The fourth proportional to 6,824.25, 9,419.29 and 4,469.58 is: 6,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.25 : 9,419.29 = 4,469.58 : x
  2. Step 2: Convert to fraction form
    6,824.25/9,419.29 = 4,469.58/x
  3. Step 3: Cross multiply
    6,824.25x = 9,419.29 × 4,469.58
  4. Step 4: Simplify right side
    6,824.25x = 42,100,259.02
  5. Step 5: Solve for x
    x = 42,100,259.02/6,824.25
  6. Step 6: Final answer
    x = 6,169.21

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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.