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Finding the Fourth Proportional to 8,197.47, 12,302.28 and 6,093.96

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Solution

The fourth proportional to 8,197.47, 12,302.28 and 6,093.96 is: 9,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.47 : 12,302.28 = 6,093.96 : x
  2. Step 2: Convert to fraction form
    8,197.47/12,302.28 = 6,093.96/x
  3. Step 3: Cross multiply
    8,197.47x = 12,302.28 × 6,093.96
  4. Step 4: Simplify right side
    8,197.47x = 74,969,602.23
  5. Step 5: Solve for x
    x = 74,969,602.23/8,197.47
  6. Step 6: Final answer
    x = 9,145.46

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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.