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Finding the Fourth Proportional to 6,134.52, 9,203.22 and 2,186.04

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Solution

The fourth proportional to 6,134.52, 9,203.22 and 2,186.04 is: 3,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.52 : 9,203.22 = 2,186.04 : x
  2. Step 2: Convert to fraction form
    6,134.52/9,203.22 = 2,186.04/x
  3. Step 3: Cross multiply
    6,134.52x = 9,203.22 × 2,186.04
  4. Step 4: Simplify right side
    6,134.52x = 20,118,607.05
  5. Step 5: Solve for x
    x = 20,118,607.05/6,134.52
  6. Step 6: Final answer
    x = 3,279.57

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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.