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Finding the Fourth Proportional to 6,301.06, 9,462.39 and 6,093.70

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Solution

The fourth proportional to 6,301.06, 9,462.39 and 6,093.70 is: 9,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.06 : 9,462.39 = 6,093.70 : x
  2. Step 2: Convert to fraction form
    6,301.06/9,462.39 = 6,093.70/x
  3. Step 3: Cross multiply
    6,301.06x = 9,462.39 × 6,093.70
  4. Step 4: Simplify right side
    6,301.06x = 57,660,965.94
  5. Step 5: Solve for x
    x = 57,660,965.94/6,301.06
  6. Step 6: Final answer
    x = 9,150.99

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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.