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Finding the Fourth Proportional to 6,144.07, 9,215.19 and 3,023.24

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Solution

The fourth proportional to 6,144.07, 9,215.19 and 3,023.24 is: 4,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.07 : 9,215.19 = 3,023.24 : x
  2. Step 2: Convert to fraction form
    6,144.07/9,215.19 = 3,023.24/x
  3. Step 3: Cross multiply
    6,144.07x = 9,215.19 × 3,023.24
  4. Step 4: Simplify right side
    6,144.07x = 27,859,731.02
  5. Step 5: Solve for x
    x = 27,859,731.02/6,144.07
  6. Step 6: Final answer
    x = 4,534.41

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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.