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Finding the Fourth Proportional to 9,756.68, 14,633.22 and 3,187.76

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Solution

The fourth proportional to 9,756.68, 14,633.22 and 3,187.76 is: 4,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.68 : 14,633.22 = 3,187.76 : x
  2. Step 2: Convert to fraction form
    9,756.68/14,633.22 = 3,187.76/x
  3. Step 3: Cross multiply
    9,756.68x = 14,633.22 × 3,187.76
  4. Step 4: Simplify right side
    9,756.68x = 46,647,193.39
  5. Step 5: Solve for x
    x = 46,647,193.39/9,756.68
  6. Step 6: Final answer
    x = 4,781.05

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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.