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Finding the Fourth Proportional to 6,131.52, 9,203.06 and 3,211.88

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Solution

The fourth proportional to 6,131.52, 9,203.06 and 3,211.88 is: 4,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.52 : 9,203.06 = 3,211.88 : x
  2. Step 2: Convert to fraction form
    6,131.52/9,203.06 = 3,211.88/x
  3. Step 3: Cross multiply
    6,131.52x = 9,203.06 × 3,211.88
  4. Step 4: Simplify right side
    6,131.52x = 29,559,062.28
  5. Step 5: Solve for x
    x = 29,559,062.28/6,131.52
  6. Step 6: Final answer
    x = 4,820.84

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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.