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Finding the Fourth Proportional to 6,094.87, 9,134.98 and 2,584.15

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Solution

The fourth proportional to 6,094.87, 9,134.98 and 2,584.15 is: 3,873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.87 : 9,134.98 = 2,584.15 : x
  2. Step 2: Convert to fraction form
    6,094.87/9,134.98 = 2,584.15/x
  3. Step 3: Cross multiply
    6,094.87x = 9,134.98 × 2,584.15
  4. Step 4: Simplify right side
    6,094.87x = 23,606,158.57
  5. Step 5: Solve for x
    x = 23,606,158.57/6,094.87
  6. Step 6: Final answer
    x = 3,873.12

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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.