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Finding the Fourth Proportional to 6,195.29, 9,294.75 and 3,275.64

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Solution

The fourth proportional to 6,195.29, 9,294.75 and 3,275.64 is: 4,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.29 : 9,294.75 = 3,275.64 : x
  2. Step 2: Convert to fraction form
    6,195.29/9,294.75 = 3,275.64/x
  3. Step 3: Cross multiply
    6,195.29x = 9,294.75 × 3,275.64
  4. Step 4: Simplify right side
    6,195.29x = 30,446,254.89
  5. Step 5: Solve for x
    x = 30,446,254.89/6,195.29
  6. Step 6: Final answer
    x = 4,914.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.