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Finding the Fourth Proportional to 9,846.86, 13,591.47 and 5,600.21

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Solution

The fourth proportional to 9,846.86, 13,591.47 and 5,600.21 is: 7,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.86 : 13,591.47 = 5,600.21 : x
  2. Step 2: Convert to fraction form
    9,846.86/13,591.47 = 5,600.21/x
  3. Step 3: Cross multiply
    9,846.86x = 13,591.47 × 5,600.21
  4. Step 4: Simplify right side
    9,846.86x = 76,115,018.25
  5. Step 5: Solve for x
    x = 76,115,018.25/9,846.86
  6. Step 6: Final answer
    x = 7,729.88

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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.