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Finding the Fourth Proportional to 6,086.46, 9,130.34 and 1,927.05

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Solution

The fourth proportional to 6,086.46, 9,130.34 and 1,927.05 is: 2,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.46 : 9,130.34 = 1,927.05 : x
  2. Step 2: Convert to fraction form
    6,086.46/9,130.34 = 1,927.05/x
  3. Step 3: Cross multiply
    6,086.46x = 9,130.34 × 1,927.05
  4. Step 4: Simplify right side
    6,086.46x = 17,594,621.70
  5. Step 5: Solve for x
    x = 17,594,621.70/6,086.46
  6. Step 6: Final answer
    x = 2,890.78

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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.