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Finding the Fourth Proportional to 6,291.42, 9,437.13 and 2,131.44

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Solution

The fourth proportional to 6,291.42, 9,437.13 and 2,131.44 is: 3,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.42 : 9,437.13 = 2,131.44 : x
  2. Step 2: Convert to fraction form
    6,291.42/9,437.13 = 2,131.44/x
  3. Step 3: Cross multiply
    6,291.42x = 9,437.13 × 2,131.44
  4. Step 4: Simplify right side
    6,291.42x = 20,114,676.37
  5. Step 5: Solve for x
    x = 20,114,676.37/6,291.42
  6. Step 6: Final answer
    x = 3,197.16

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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.