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Finding the Fourth Proportional to 9,398.14, 12,969.41 and 5,149.46

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Solution

The fourth proportional to 9,398.14, 12,969.41 and 5,149.46 is: 7,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.14 : 12,969.41 = 5,149.46 : x
  2. Step 2: Convert to fraction form
    9,398.14/12,969.41 = 5,149.46/x
  3. Step 3: Cross multiply
    9,398.14x = 12,969.41 × 5,149.46
  4. Step 4: Simplify right side
    9,398.14x = 66,785,464.69
  5. Step 5: Solve for x
    x = 66,785,464.69/9,398.14
  6. Step 6: Final answer
    x = 7,106.24

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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.