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Finding the Fourth Proportional to 9,660.89, 13,338.44 and 7,418.71

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Solution

The fourth proportional to 9,660.89, 13,338.44 and 7,418.71 is: 10,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.89 : 13,338.44 = 7,418.71 : x
  2. Step 2: Convert to fraction form
    9,660.89/13,338.44 = 7,418.71/x
  3. Step 3: Cross multiply
    9,660.89x = 13,338.44 × 7,418.71
  4. Step 4: Simplify right side
    9,660.89x = 98,954,018.21
  5. Step 5: Solve for x
    x = 98,954,018.21/9,660.89
  6. Step 6: Final answer
    x = 10,242.74

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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.