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Finding the Fourth Proportional to 6,270.48, 9,400.13 and 2,377.62

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Solution

The fourth proportional to 6,270.48, 9,400.13 and 2,377.62 is: 3,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.48 : 9,400.13 = 2,377.62 : x
  2. Step 2: Convert to fraction form
    6,270.48/9,400.13 = 2,377.62/x
  3. Step 3: Cross multiply
    6,270.48x = 9,400.13 × 2,377.62
  4. Step 4: Simplify right side
    6,270.48x = 22,349,937.09
  5. Step 5: Solve for x
    x = 22,349,937.09/6,270.48
  6. Step 6: Final answer
    x = 3,564.31

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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.