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Finding the Fourth Proportional to 9,221.68, 13,830.61 and 2,646.40

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Solution

The fourth proportional to 9,221.68, 13,830.61 and 2,646.40 is: 3,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.68 : 13,830.61 = 2,646.40 : x
  2. Step 2: Convert to fraction form
    9,221.68/13,830.61 = 2,646.40/x
  3. Step 3: Cross multiply
    9,221.68x = 13,830.61 × 2,646.40
  4. Step 4: Simplify right side
    9,221.68x = 36,601,243.92
  5. Step 5: Solve for x
    x = 36,601,243.92/9,221.68
  6. Step 6: Final answer
    x = 3,969.05

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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.