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Finding the Fourth Proportional to 6,141.76, 9,219.80 and 3,024.34

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Solution

The fourth proportional to 6,141.76, 9,219.80 and 3,024.34 is: 4,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.76 : 9,219.80 = 3,024.34 : x
  2. Step 2: Convert to fraction form
    6,141.76/9,219.80 = 3,024.34/x
  3. Step 3: Cross multiply
    6,141.76x = 9,219.80 × 3,024.34
  4. Step 4: Simplify right side
    6,141.76x = 27,883,809.93
  5. Step 5: Solve for x
    x = 27,883,809.93/6,141.76
  6. Step 6: Final answer
    x = 4,540.04

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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.