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Finding the Fourth Proportional to 9,151.95, 13,728.72 and 2,578.19

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Solution

The fourth proportional to 9,151.95, 13,728.72 and 2,578.19 is: 3,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.95 : 13,728.72 = 2,578.19 : x
  2. Step 2: Convert to fraction form
    9,151.95/13,728.72 = 2,578.19/x
  3. Step 3: Cross multiply
    9,151.95x = 13,728.72 × 2,578.19
  4. Step 4: Simplify right side
    9,151.95x = 35,395,179.97
  5. Step 5: Solve for x
    x = 35,395,179.97/9,151.95
  6. Step 6: Final answer
    x = 3,867.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.