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Finding the Fourth Proportional to 6,139.37, 9,212.16 and 3,019.25

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Solution

The fourth proportional to 6,139.37, 9,212.16 and 3,019.25 is: 4,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.37 : 9,212.16 = 3,019.25 : x
  2. Step 2: Convert to fraction form
    6,139.37/9,212.16 = 3,019.25/x
  3. Step 3: Cross multiply
    6,139.37x = 9,212.16 × 3,019.25
  4. Step 4: Simplify right side
    6,139.37x = 27,813,814.08
  5. Step 5: Solve for x
    x = 27,813,814.08/6,139.37
  6. Step 6: Final answer
    x = 4,530.40

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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.