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Finding the Fourth Proportional to 9,144.36, 13,682.52 and 5,448.60

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Solution

The fourth proportional to 9,144.36, 13,682.52 and 5,448.60 is: 8,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.36 : 13,682.52 = 5,448.60 : x
  2. Step 2: Convert to fraction form
    9,144.36/13,682.52 = 5,448.60/x
  3. Step 3: Cross multiply
    9,144.36x = 13,682.52 × 5,448.60
  4. Step 4: Simplify right side
    9,144.36x = 74,550,578.47
  5. Step 5: Solve for x
    x = 74,550,578.47/9,144.36
  6. Step 6: Final answer
    x = 8,152.63

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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.