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Finding the Fourth Proportional to 9,201.68, 13,796.98 and 4,134.94

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Solution

The fourth proportional to 9,201.68, 13,796.98 and 4,134.94 is: 6,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.68 : 13,796.98 = 4,134.94 : x
  2. Step 2: Convert to fraction form
    9,201.68/13,796.98 = 4,134.94/x
  3. Step 3: Cross multiply
    9,201.68x = 13,796.98 × 4,134.94
  4. Step 4: Simplify right side
    9,201.68x = 57,049,687.60
  5. Step 5: Solve for x
    x = 57,049,687.60/9,201.68
  6. Step 6: Final answer
    x = 6,199.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.