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Finding the Fourth Proportional to 6,114.78, 9,172.80 and 3,345.48

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Solution

The fourth proportional to 6,114.78, 9,172.80 and 3,345.48 is: 5,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.78 : 9,172.80 = 3,345.48 : x
  2. Step 2: Convert to fraction form
    6,114.78/9,172.80 = 3,345.48/x
  3. Step 3: Cross multiply
    6,114.78x = 9,172.80 × 3,345.48
  4. Step 4: Simplify right side
    6,114.78x = 30,687,418.94
  5. Step 5: Solve for x
    x = 30,687,418.94/6,114.78
  6. Step 6: Final answer
    x = 5,018.56

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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.