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Finding the Fourth Proportional to 9,388.68, 12,957.12 and 5,197.56

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Solution

The fourth proportional to 9,388.68, 12,957.12 and 5,197.56 is: 7,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.68 : 12,957.12 = 5,197.56 : x
  2. Step 2: Convert to fraction form
    9,388.68/12,957.12 = 5,197.56/x
  3. Step 3: Cross multiply
    9,388.68x = 12,957.12 × 5,197.56
  4. Step 4: Simplify right side
    9,388.68x = 67,345,408.63
  5. Step 5: Solve for x
    x = 67,345,408.63/9,388.68
  6. Step 6: Final answer
    x = 7,173.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.