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Finding the Fourth Proportional to 6,022.95, 9,034.24 and 1,640.27

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Solution

The fourth proportional to 6,022.95, 9,034.24 and 1,640.27 is: 2,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.95 : 9,034.24 = 1,640.27 : x
  2. Step 2: Convert to fraction form
    6,022.95/9,034.24 = 1,640.27/x
  3. Step 3: Cross multiply
    6,022.95x = 9,034.24 × 1,640.27
  4. Step 4: Simplify right side
    6,022.95x = 14,818,592.84
  5. Step 5: Solve for x
    x = 14,818,592.84/6,022.95
  6. Step 6: Final answer
    x = 2,460.35

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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.