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Finding the Fourth Proportional to 9,533.97, 13,158.05 and 5,997.11

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Solution

The fourth proportional to 9,533.97, 13,158.05 and 5,997.11 is: 8,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.97 : 13,158.05 = 5,997.11 : x
  2. Step 2: Convert to fraction form
    9,533.97/13,158.05 = 5,997.11/x
  3. Step 3: Cross multiply
    9,533.97x = 13,158.05 × 5,997.11
  4. Step 4: Simplify right side
    9,533.97x = 78,910,177.46
  5. Step 5: Solve for x
    x = 78,910,177.46/9,533.97
  6. Step 6: Final answer
    x = 8,276.74

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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.