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Finding the Fourth Proportional to 9,498.28, 13,106.94 and 5,249.29

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Solution

The fourth proportional to 9,498.28, 13,106.94 and 5,249.29 is: 7,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.28 : 13,106.94 = 5,249.29 : x
  2. Step 2: Convert to fraction form
    9,498.28/13,106.94 = 5,249.29/x
  3. Step 3: Cross multiply
    9,498.28x = 13,106.94 × 5,249.29
  4. Step 4: Simplify right side
    9,498.28x = 68,802,129.07
  5. Step 5: Solve for x
    x = 68,802,129.07/9,498.28
  6. Step 6: Final answer
    x = 7,243.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.