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Finding the Fourth Proportional to 6,093.56, 9,140.34 and 2,448.12

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Solution

The fourth proportional to 6,093.56, 9,140.34 and 2,448.12 is: 3,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.56 : 9,140.34 = 2,448.12 : x
  2. Step 2: Convert to fraction form
    6,093.56/9,140.34 = 2,448.12/x
  3. Step 3: Cross multiply
    6,093.56x = 9,140.34 × 2,448.12
  4. Step 4: Simplify right side
    6,093.56x = 22,376,649.16
  5. Step 5: Solve for x
    x = 22,376,649.16/6,093.56
  6. Step 6: Final answer
    x = 3,672.18

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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.