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Finding the Fourth Proportional to 9,567.44, 14,348.37 and 3,722.66

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Solution

The fourth proportional to 9,567.44, 14,348.37 and 3,722.66 is: 5,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.44 : 14,348.37 = 3,722.66 : x
  2. Step 2: Convert to fraction form
    9,567.44/14,348.37 = 3,722.66/x
  3. Step 3: Cross multiply
    9,567.44x = 14,348.37 × 3,722.66
  4. Step 4: Simplify right side
    9,567.44x = 53,414,103.06
  5. Step 5: Solve for x
    x = 53,414,103.06/9,567.44
  6. Step 6: Final answer
    x = 5,582.90

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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.