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Finding the Fourth Proportional to 9,139.74, 13,697.31 and 4,198.49

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Solution

The fourth proportional to 9,139.74, 13,697.31 and 4,198.49 is: 6,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.74 : 13,697.31 = 4,198.49 : x
  2. Step 2: Convert to fraction form
    9,139.74/13,697.31 = 4,198.49/x
  3. Step 3: Cross multiply
    9,139.74x = 13,697.31 × 4,198.49
  4. Step 4: Simplify right side
    9,139.74x = 57,507,950.58
  5. Step 5: Solve for x
    x = 57,507,950.58/9,139.74
  6. Step 6: Final answer
    x = 6,292.08

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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.