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Finding the Fourth Proportional to 9,633.87, 13,289.31 and 5,654.21

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Solution

The fourth proportional to 9,633.87, 13,289.31 and 5,654.21 is: 7,799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.87 : 13,289.31 = 5,654.21 : x
  2. Step 2: Convert to fraction form
    9,633.87/13,289.31 = 5,654.21/x
  3. Step 3: Cross multiply
    9,633.87x = 13,289.31 × 5,654.21
  4. Step 4: Simplify right side
    9,633.87x = 75,140,483.05
  5. Step 5: Solve for x
    x = 75,140,483.05/9,633.87
  6. Step 6: Final answer
    x = 7,799.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.