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Finding the Fourth Proportional to 6,186.20, 9,274.44 and 2,896

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Solution

The fourth proportional to 6,186.20, 9,274.44 and 2,896 is: 4,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.20 : 9,274.44 = 2,896 : x
  2. Step 2: Convert to fraction form
    6,186.20/9,274.44 = 2,896/x
  3. Step 3: Cross multiply
    6,186.20x = 9,274.44 × 2,896
  4. Step 4: Simplify right side
    6,186.20x = 26,858,778.24
  5. Step 5: Solve for x
    x = 26,858,778.24/6,186.20
  6. Step 6: Final answer
    x = 4,341.72

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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.