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Finding the Fourth Proportional to 9,166.02, 12,682.44 and 7,989.54

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Solution

The fourth proportional to 9,166.02, 12,682.44 and 7,989.54 is: 11,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.02 : 12,682.44 = 7,989.54 : x
  2. Step 2: Convert to fraction form
    9,166.02/12,682.44 = 7,989.54/x
  3. Step 3: Cross multiply
    9,166.02x = 12,682.44 × 7,989.54
  4. Step 4: Simplify right side
    9,166.02x = 101,326,861.68
  5. Step 5: Solve for x
    x = 101,326,861.68/9,166.02
  6. Step 6: Final answer
    x = 11,054.62

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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.