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Finding the Fourth Proportional to 6,134.56, 9,202.76 and 2,847.99

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Solution

The fourth proportional to 6,134.56, 9,202.76 and 2,847.99 is: 4,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.56 : 9,202.76 = 2,847.99 : x
  2. Step 2: Convert to fraction form
    6,134.56/9,202.76 = 2,847.99/x
  3. Step 3: Cross multiply
    6,134.56x = 9,202.76 × 2,847.99
  4. Step 4: Simplify right side
    6,134.56x = 26,209,368.45
  5. Step 5: Solve for x
    x = 26,209,368.45/6,134.56
  6. Step 6: Final answer
    x = 4,272.41

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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.