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Finding the Fourth Proportional to 6,146.79, 9,219.62 and 2,448.02

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Solution

The fourth proportional to 6,146.79, 9,219.62 and 2,448.02 is: 3,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.79 : 9,219.62 = 2,448.02 : x
  2. Step 2: Convert to fraction form
    6,146.79/9,219.62 = 2,448.02/x
  3. Step 3: Cross multiply
    6,146.79x = 9,219.62 × 2,448.02
  4. Step 4: Simplify right side
    6,146.79x = 22,569,843.32
  5. Step 5: Solve for x
    x = 22,569,843.32/6,146.79
  6. Step 6: Final answer
    x = 3,671.81

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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.