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Finding the Fourth Proportional to 6,146.06, 9,219.11 and 4,065.68

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Solution

The fourth proportional to 6,146.06, 9,219.11 and 4,065.68 is: 6,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.06 : 9,219.11 = 4,065.68 : x
  2. Step 2: Convert to fraction form
    6,146.06/9,219.11 = 4,065.68/x
  3. Step 3: Cross multiply
    6,146.06x = 9,219.11 × 4,065.68
  4. Step 4: Simplify right side
    6,146.06x = 37,481,884.72
  5. Step 5: Solve for x
    x = 37,481,884.72/6,146.06
  6. Step 6: Final answer
    x = 6,098.53

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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.