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Finding the Fourth Proportional to 9,398.86, 12,969.74 and 5,149.24

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Solution

The fourth proportional to 9,398.86, 12,969.74 and 5,149.24 is: 7,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.86 : 12,969.74 = 5,149.24 : x
  2. Step 2: Convert to fraction form
    9,398.86/12,969.74 = 5,149.24/x
  3. Step 3: Cross multiply
    9,398.86x = 12,969.74 × 5,149.24
  4. Step 4: Simplify right side
    9,398.86x = 66,784,284.45
  5. Step 5: Solve for x
    x = 66,784,284.45/9,398.86
  6. Step 6: Final answer
    x = 7,105.57

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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.