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Finding the Fourth Proportional to 9,156.68, 13,735.02 and 3,610.61

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Solution

The fourth proportional to 9,156.68, 13,735.02 and 3,610.61 is: 5,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.68 : 13,735.02 = 3,610.61 : x
  2. Step 2: Convert to fraction form
    9,156.68/13,735.02 = 3,610.61/x
  3. Step 3: Cross multiply
    9,156.68x = 13,735.02 × 3,610.61
  4. Step 4: Simplify right side
    9,156.68x = 49,591,800.56
  5. Step 5: Solve for x
    x = 49,591,800.56/9,156.68
  6. Step 6: Final answer
    x = 5,415.92

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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.