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Finding the Fourth Proportional to 9,147.34, 13,723.04 and 2,909.26

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Solution

The fourth proportional to 9,147.34, 13,723.04 and 2,909.26 is: 4,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.34 : 13,723.04 = 2,909.26 : x
  2. Step 2: Convert to fraction form
    9,147.34/13,723.04 = 2,909.26/x
  3. Step 3: Cross multiply
    9,147.34x = 13,723.04 × 2,909.26
  4. Step 4: Simplify right side
    9,147.34x = 39,923,891.35
  5. Step 5: Solve for x
    x = 39,923,891.35/9,147.34
  6. Step 6: Final answer
    x = 4,364.54

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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.