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Finding the Fourth Proportional to 6,142.77, 9,215.78 and 3,220.29

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Solution

The fourth proportional to 6,142.77, 9,215.78 and 3,220.29 is: 4,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.77 : 9,215.78 = 3,220.29 : x
  2. Step 2: Convert to fraction form
    6,142.77/9,215.78 = 3,220.29/x
  3. Step 3: Cross multiply
    6,142.77x = 9,215.78 × 3,220.29
  4. Step 4: Simplify right side
    6,142.77x = 29,677,468.07
  5. Step 5: Solve for x
    x = 29,677,468.07/6,142.77
  6. Step 6: Final answer
    x = 4,831.28

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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.