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Finding the Fourth Proportional to 6,138.32, 9,207.41 and 2,242.69

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Solution

The fourth proportional to 6,138.32, 9,207.41 and 2,242.69 is: 3,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.32 : 9,207.41 = 2,242.69 : x
  2. Step 2: Convert to fraction form
    6,138.32/9,207.41 = 2,242.69/x
  3. Step 3: Cross multiply
    6,138.32x = 9,207.41 × 2,242.69
  4. Step 4: Simplify right side
    6,138.32x = 20,649,332.10
  5. Step 5: Solve for x
    x = 20,649,332.10/6,138.32
  6. Step 6: Final answer
    x = 3,364.01

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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.