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Finding the Fourth Proportional to 9,448.77, 13,038.72 and 5,198.97

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Solution

The fourth proportional to 9,448.77, 13,038.72 and 5,198.97 is: 7,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.77 : 13,038.72 = 5,198.97 : x
  2. Step 2: Convert to fraction form
    9,448.77/13,038.72 = 5,198.97/x
  3. Step 3: Cross multiply
    9,448.77x = 13,038.72 × 5,198.97
  4. Step 4: Simplify right side
    9,448.77x = 67,787,914.12
  5. Step 5: Solve for x
    x = 67,787,914.12/9,448.77
  6. Step 6: Final answer
    x = 7,174.26

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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.