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Finding the Fourth Proportional to 9,414.23, 12,986.19 and 7,811.71

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Solution

The fourth proportional to 9,414.23, 12,986.19 and 7,811.71 is: 10,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.23 : 12,986.19 = 7,811.71 : x
  2. Step 2: Convert to fraction form
    9,414.23/12,986.19 = 7,811.71/x
  3. Step 3: Cross multiply
    9,414.23x = 12,986.19 × 7,811.71
  4. Step 4: Simplify right side
    9,414.23x = 101,444,317.82
  5. Step 5: Solve for x
    x = 101,444,317.82/9,414.23
  6. Step 6: Final answer
    x = 10,775.64

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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.