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Finding the Fourth Proportional to 6,138.95, 9,206.46 and 2,440.08

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Solution

The fourth proportional to 6,138.95, 9,206.46 and 2,440.08 is: 3,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.95 : 9,206.46 = 2,440.08 : x
  2. Step 2: Convert to fraction form
    6,138.95/9,206.46 = 2,440.08/x
  3. Step 3: Cross multiply
    6,138.95x = 9,206.46 × 2,440.08
  4. Step 4: Simplify right side
    6,138.95x = 22,464,498.92
  5. Step 5: Solve for x
    x = 22,464,498.92/6,138.95
  6. Step 6: Final answer
    x = 3,659.34

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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.