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Finding the Fourth Proportional to 9,139.58, 13,698.87 and 4,198.84

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Solution

The fourth proportional to 9,139.58, 13,698.87 and 4,198.84 is: 6,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.58 : 13,698.87 = 4,198.84 : x
  2. Step 2: Convert to fraction form
    9,139.58/13,698.87 = 4,198.84/x
  3. Step 3: Cross multiply
    9,139.58x = 13,698.87 × 4,198.84
  4. Step 4: Simplify right side
    9,139.58x = 57,519,390.37
  5. Step 5: Solve for x
    x = 57,519,390.37/9,139.58
  6. Step 6: Final answer
    x = 6,293.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.