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Finding the Fourth Proportional to 9,661.06, 13,338.57 and 7,418.71

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Solution

The fourth proportional to 9,661.06, 13,338.57 and 7,418.71 is: 10,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.06 : 13,338.57 = 7,418.71 : x
  2. Step 2: Convert to fraction form
    9,661.06/13,338.57 = 7,418.71/x
  3. Step 3: Cross multiply
    9,661.06x = 13,338.57 × 7,418.71
  4. Step 4: Simplify right side
    9,661.06x = 98,954,982.64
  5. Step 5: Solve for x
    x = 98,954,982.64/9,661.06
  6. Step 6: Final answer
    x = 10,242.66

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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.