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Finding the Fourth Proportional to 9,563.37, 13,197.42 and 5,314.82

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Solution

The fourth proportional to 9,563.37, 13,197.42 and 5,314.82 is: 7,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.37 : 13,197.42 = 5,314.82 : x
  2. Step 2: Convert to fraction form
    9,563.37/13,197.42 = 5,314.82/x
  3. Step 3: Cross multiply
    9,563.37x = 13,197.42 × 5,314.82
  4. Step 4: Simplify right side
    9,563.37x = 70,141,845.78
  5. Step 5: Solve for x
    x = 70,141,845.78/9,563.37
  6. Step 6: Final answer
    x = 7,334.43

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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.