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Finding the Fourth Proportional to 6,266.43, 9,398.48 and 3,145.60

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Solution

The fourth proportional to 6,266.43, 9,398.48 and 3,145.60 is: 4,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.43 : 9,398.48 = 3,145.60 : x
  2. Step 2: Convert to fraction form
    6,266.43/9,398.48 = 3,145.60/x
  3. Step 3: Cross multiply
    6,266.43x = 9,398.48 × 3,145.60
  4. Step 4: Simplify right side
    6,266.43x = 29,563,854.71
  5. Step 5: Solve for x
    x = 29,563,854.71/6,266.43
  6. Step 6: Final answer
    x = 4,717.81

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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.