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Finding the Fourth Proportional to 6,019.84, 9,015.09 and 4,165.75

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Solution

The fourth proportional to 6,019.84, 9,015.09 and 4,165.75 is: 6,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019.84 : 9,015.09 = 4,165.75 : x
  2. Step 2: Convert to fraction form
    6,019.84/9,015.09 = 4,165.75/x
  3. Step 3: Cross multiply
    6,019.84x = 9,015.09 × 4,165.75
  4. Step 4: Simplify right side
    6,019.84x = 37,554,611.17
  5. Step 5: Solve for x
    x = 37,554,611.17/6,019.84
  6. Step 6: Final answer
    x = 6,238.47

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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.