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Finding the Fourth Proportional to 9,289.22, 13,933.68 and 3,742.42

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Solution

The fourth proportional to 9,289.22, 13,933.68 and 3,742.42 is: 5,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.22 : 13,933.68 = 3,742.42 : x
  2. Step 2: Convert to fraction form
    9,289.22/13,933.68 = 3,742.42/x
  3. Step 3: Cross multiply
    9,289.22x = 13,933.68 × 3,742.42
  4. Step 4: Simplify right side
    9,289.22x = 52,145,682.71
  5. Step 5: Solve for x
    x = 52,145,682.71/9,289.22
  6. Step 6: Final answer
    x = 5,613.57

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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.