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Finding the Fourth Proportional to 6,014.64, 9,023.25 and 2,065.59

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Solution

The fourth proportional to 6,014.64, 9,023.25 and 2,065.59 is: 3,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.64 : 9,023.25 = 2,065.59 : x
  2. Step 2: Convert to fraction form
    6,014.64/9,023.25 = 2,065.59/x
  3. Step 3: Cross multiply
    6,014.64x = 9,023.25 × 2,065.59
  4. Step 4: Simplify right side
    6,014.64x = 18,638,334.97
  5. Step 5: Solve for x
    x = 18,638,334.97/6,014.64
  6. Step 6: Final answer
    x = 3,098.83

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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.