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Finding the Fourth Proportional to 9,865.18, 14,797.77 and 3,291.22

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Solution

The fourth proportional to 9,865.18, 14,797.77 and 3,291.22 is: 4,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.18 : 14,797.77 = 3,291.22 : x
  2. Step 2: Convert to fraction form
    9,865.18/14,797.77 = 3,291.22/x
  3. Step 3: Cross multiply
    9,865.18x = 14,797.77 × 3,291.22
  4. Step 4: Simplify right side
    9,865.18x = 48,702,716.58
  5. Step 5: Solve for x
    x = 48,702,716.58/9,865.18
  6. Step 6: Final answer
    x = 4,936.83

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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.