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Finding the Fourth Proportional to 6,184.06, 9,274.86 and 2,896.28

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Solution

The fourth proportional to 6,184.06, 9,274.86 and 2,896.28 is: 4,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.06 : 9,274.86 = 2,896.28 : x
  2. Step 2: Convert to fraction form
    6,184.06/9,274.86 = 2,896.28/x
  3. Step 3: Cross multiply
    6,184.06x = 9,274.86 × 2,896.28
  4. Step 4: Simplify right side
    6,184.06x = 26,862,591.52
  5. Step 5: Solve for x
    x = 26,862,591.52/6,184.06
  6. Step 6: Final answer
    x = 4,343.84

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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.