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Finding the Fourth Proportional to 6,142.28, 9,215.02 and 1,760.08

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Solution

The fourth proportional to 6,142.28, 9,215.02 and 1,760.08 is: 2,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.28 : 9,215.02 = 1,760.08 : x
  2. Step 2: Convert to fraction form
    6,142.28/9,215.02 = 1,760.08/x
  3. Step 3: Cross multiply
    6,142.28x = 9,215.02 × 1,760.08
  4. Step 4: Simplify right side
    6,142.28x = 16,219,158.94
  5. Step 5: Solve for x
    x = 16,219,158.94/6,142.28
  6. Step 6: Final answer
    x = 2,640.58

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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.