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Finding the Fourth Proportional to 9,188.03, 12,682.37 and 5,410.94

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Solution

The fourth proportional to 9,188.03, 12,682.37 and 5,410.94 is: 7,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.03 : 12,682.37 = 5,410.94 : x
  2. Step 2: Convert to fraction form
    9,188.03/12,682.37 = 5,410.94/x
  3. Step 3: Cross multiply
    9,188.03x = 12,682.37 × 5,410.94
  4. Step 4: Simplify right side
    9,188.03x = 68,623,493.24
  5. Step 5: Solve for x
    x = 68,623,493.24/9,188.03
  6. Step 6: Final answer
    x = 7,468.79

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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.