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Finding the Fourth Proportional to 8,193.74, 12,296.72 and 6,090.21

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Solution

The fourth proportional to 8,193.74, 12,296.72 and 6,090.21 is: 9,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.74 : 12,296.72 = 6,090.21 : x
  2. Step 2: Convert to fraction form
    8,193.74/12,296.72 = 6,090.21/x
  3. Step 3: Cross multiply
    8,193.74x = 12,296.72 × 6,090.21
  4. Step 4: Simplify right side
    8,193.74x = 74,889,607.11
  5. Step 5: Solve for x
    x = 74,889,607.11/8,193.74
  6. Step 6: Final answer
    x = 9,139.86

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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.