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Finding the Fourth Proportional to 9,448.77, 13,039.37 and 5,199.72

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Solution

The fourth proportional to 9,448.77, 13,039.37 and 5,199.72 is: 7,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.77 : 13,039.37 = 5,199.72 : x
  2. Step 2: Convert to fraction form
    9,448.77/13,039.37 = 5,199.72/x
  3. Step 3: Cross multiply
    9,448.77x = 13,039.37 × 5,199.72
  4. Step 4: Simplify right side
    9,448.77x = 67,801,072.98
  5. Step 5: Solve for x
    x = 67,801,072.98/9,448.77
  6. Step 6: Final answer
    x = 7,175.65

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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.