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Finding the Fourth Proportional to 9,621.86, 13,274.48 and 5,843.68

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Solution

The fourth proportional to 9,621.86, 13,274.48 and 5,843.68 is: 8,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621.86 : 13,274.48 = 5,843.68 : x
  2. Step 2: Convert to fraction form
    9,621.86/13,274.48 = 5,843.68/x
  3. Step 3: Cross multiply
    9,621.86x = 13,274.48 × 5,843.68
  4. Step 4: Simplify right side
    9,621.86x = 77,571,794.71
  5. Step 5: Solve for x
    x = 77,571,794.71/9,621.86
  6. Step 6: Final answer
    x = 8,062.04

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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.