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Finding the Fourth Proportional to 6,014.44, 9,019.74 and 1,909.48

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Solution

The fourth proportional to 6,014.44, 9,019.74 and 1,909.48 is: 2,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.44 : 9,019.74 = 1,909.48 : x
  2. Step 2: Convert to fraction form
    6,014.44/9,019.74 = 1,909.48/x
  3. Step 3: Cross multiply
    6,014.44x = 9,019.74 × 1,909.48
  4. Step 4: Simplify right side
    6,014.44x = 17,223,013.14
  5. Step 5: Solve for x
    x = 17,223,013.14/6,014.44
  6. Step 6: Final answer
    x = 2,863.61

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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.