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Finding the Fourth Proportional to 9,197.15, 13,796.17 and 2,624.30

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Solution

The fourth proportional to 9,197.15, 13,796.17 and 2,624.30 is: 3,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.15 : 13,796.17 = 2,624.30 : x
  2. Step 2: Convert to fraction form
    9,197.15/13,796.17 = 2,624.30/x
  3. Step 3: Cross multiply
    9,197.15x = 13,796.17 × 2,624.30
  4. Step 4: Simplify right side
    9,197.15x = 36,205,279.89
  5. Step 5: Solve for x
    x = 36,205,279.89/9,197.15
  6. Step 6: Final answer
    x = 3,936.58

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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.