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Finding the Fourth Proportional to 9,289.45, 13,934.03 and 3,742.66

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Solution

The fourth proportional to 9,289.45, 13,934.03 and 3,742.66 is: 5,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.45 : 13,934.03 = 3,742.66 : x
  2. Step 2: Convert to fraction form
    9,289.45/13,934.03 = 3,742.66/x
  3. Step 3: Cross multiply
    9,289.45x = 13,934.03 × 3,742.66
  4. Step 4: Simplify right side
    9,289.45x = 52,150,335.42
  5. Step 5: Solve for x
    x = 52,150,335.42/9,289.45
  6. Step 6: Final answer
    x = 5,613.93

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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.