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Finding the Fourth Proportional to 6,266.34, 9,387.78 and 3,142.70

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Solution

The fourth proportional to 6,266.34, 9,387.78 and 3,142.70 is: 4,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.34 : 9,387.78 = 3,142.70 : x
  2. Step 2: Convert to fraction form
    6,266.34/9,387.78 = 3,142.70/x
  3. Step 3: Cross multiply
    6,266.34x = 9,387.78 × 3,142.70
  4. Step 4: Simplify right side
    6,266.34x = 29,502,929.27
  5. Step 5: Solve for x
    x = 29,502,929.27/6,266.34
  6. Step 6: Final answer
    x = 4,708.16

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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.