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Finding the Fourth Proportional to 9,661.41, 13,332.92 and 5,884.71

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Solution

The fourth proportional to 9,661.41, 13,332.92 and 5,884.71 is: 8,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.41 : 13,332.92 = 5,884.71 : x
  2. Step 2: Convert to fraction form
    9,661.41/13,332.92 = 5,884.71/x
  3. Step 3: Cross multiply
    9,661.41x = 13,332.92 × 5,884.71
  4. Step 4: Simplify right side
    9,661.41x = 78,460,367.65
  5. Step 5: Solve for x
    x = 78,460,367.65/9,661.41
  6. Step 6: Final answer
    x = 8,121.01

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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.