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Finding the Fourth Proportional to 9,289.28, 13,924.20 and 5,779.28

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Solution

The fourth proportional to 9,289.28, 13,924.20 and 5,779.28 is: 8,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.28 : 13,924.20 = 5,779.28 : x
  2. Step 2: Convert to fraction form
    9,289.28/13,924.20 = 5,779.28/x
  3. Step 3: Cross multiply
    9,289.28x = 13,924.20 × 5,779.28
  4. Step 4: Simplify right side
    9,289.28x = 80,471,850.58
  5. Step 5: Solve for x
    x = 80,471,850.58/9,289.28
  6. Step 6: Final answer
    x = 8,662.87

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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.