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Finding the Fourth Proportional to 9,414.51, 12,992.18 and 5,435.97

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Solution

The fourth proportional to 9,414.51, 12,992.18 and 5,435.97 is: 7,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.51 : 12,992.18 = 5,435.97 : x
  2. Step 2: Convert to fraction form
    9,414.51/12,992.18 = 5,435.97/x
  3. Step 3: Cross multiply
    9,414.51x = 12,992.18 × 5,435.97
  4. Step 4: Simplify right side
    9,414.51x = 70,625,073.53
  5. Step 5: Solve for x
    x = 70,625,073.53/9,414.51
  6. Step 6: Final answer
    x = 7,501.73

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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.