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Finding the Fourth Proportional to 6,096.24, 9,149.49 and 4,713.30

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Solution

The fourth proportional to 6,096.24, 9,149.49 and 4,713.30 is: 7,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.24 : 9,149.49 = 4,713.30 : x
  2. Step 2: Convert to fraction form
    6,096.24/9,149.49 = 4,713.30/x
  3. Step 3: Cross multiply
    6,096.24x = 9,149.49 × 4,713.30
  4. Step 4: Simplify right side
    6,096.24x = 43,124,291.22
  5. Step 5: Solve for x
    x = 43,124,291.22/6,096.24
  6. Step 6: Final answer
    x = 7,073.92

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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.