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Finding the Fourth Proportional to 6,014.19, 9,021.62 and 1,857.06

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Solution

The fourth proportional to 6,014.19, 9,021.62 and 1,857.06 is: 2,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.19 : 9,021.62 = 1,857.06 : x
  2. Step 2: Convert to fraction form
    6,014.19/9,021.62 = 1,857.06/x
  3. Step 3: Cross multiply
    6,014.19x = 9,021.62 × 1,857.06
  4. Step 4: Simplify right side
    6,014.19x = 16,753,680.35
  5. Step 5: Solve for x
    x = 16,753,680.35/6,014.19
  6. Step 6: Final answer
    x = 2,785.69

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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.