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Finding the Fourth Proportional to 9,878.22, 13,629.47 and 5,844.42

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Solution

The fourth proportional to 9,878.22, 13,629.47 and 5,844.42 is: 8,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.22 : 13,629.47 = 5,844.42 : x
  2. Step 2: Convert to fraction form
    9,878.22/13,629.47 = 5,844.42/x
  3. Step 3: Cross multiply
    9,878.22x = 13,629.47 × 5,844.42
  4. Step 4: Simplify right side
    9,878.22x = 79,656,317.84
  5. Step 5: Solve for x
    x = 79,656,317.84/9,878.22
  6. Step 6: Final answer
    x = 8,063.83

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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.