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Finding the Fourth Proportional to 6,154.54, 9,219.48 and 2,863.06

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Solution

The fourth proportional to 6,154.54, 9,219.48 and 2,863.06 is: 4,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.54 : 9,219.48 = 2,863.06 : x
  2. Step 2: Convert to fraction form
    6,154.54/9,219.48 = 2,863.06/x
  3. Step 3: Cross multiply
    6,154.54x = 9,219.48 × 2,863.06
  4. Step 4: Simplify right side
    6,154.54x = 26,395,924.41
  5. Step 5: Solve for x
    x = 26,395,924.41/6,154.54
  6. Step 6: Final answer
    x = 4,288.85

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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.