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Finding the Fourth Proportional to 9,151.85, 13,728.59 and 2,578.10

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Solution

The fourth proportional to 9,151.85, 13,728.59 and 2,578.10 is: 3,867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.85 : 13,728.59 = 2,578.10 : x
  2. Step 2: Convert to fraction form
    9,151.85/13,728.59 = 2,578.10/x
  3. Step 3: Cross multiply
    9,151.85x = 13,728.59 × 2,578.10
  4. Step 4: Simplify right side
    9,151.85x = 35,393,606.01
  5. Step 5: Solve for x
    x = 35,393,606.01/9,151.85
  6. Step 6: Final answer
    x = 3,867.37

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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.