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Finding the Fourth Proportional to 9,190.68, 12,689.22 and 7,062.42

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Solution

The fourth proportional to 9,190.68, 12,689.22 and 7,062.42 is: 9,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.68 : 12,689.22 = 7,062.42 : x
  2. Step 2: Convert to fraction form
    9,190.68/12,689.22 = 7,062.42/x
  3. Step 3: Cross multiply
    9,190.68x = 12,689.22 × 7,062.42
  4. Step 4: Simplify right side
    9,190.68x = 89,616,601.11
  5. Step 5: Solve for x
    x = 89,616,601.11/9,190.68
  6. Step 6: Final answer
    x = 9,750.81

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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.