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Finding the Fourth Proportional to 6,112.40, 9,169.20 and 2,415

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Solution

The fourth proportional to 6,112.40, 9,169.20 and 2,415 is: 3,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.40 : 9,169.20 = 2,415 : x
  2. Step 2: Convert to fraction form
    6,112.40/9,169.20 = 2,415/x
  3. Step 3: Cross multiply
    6,112.40x = 9,169.20 × 2,415
  4. Step 4: Simplify right side
    6,112.40x = 22,143,618
  5. Step 5: Solve for x
    x = 22,143,618/6,112.40
  6. Step 6: Final answer
    x = 3,622.74

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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.