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Finding the Fourth Proportional to 9,074.26, 13,613.00 and 4,144.40

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Solution

The fourth proportional to 9,074.26, 13,613.00 and 4,144.40 is: 6,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.26 : 13,613.00 = 4,144.40 : x
  2. Step 2: Convert to fraction form
    9,074.26/13,613.00 = 4,144.40/x
  3. Step 3: Cross multiply
    9,074.26x = 13,613.00 × 4,144.40
  4. Step 4: Simplify right side
    9,074.26x = 56,417,628.41
  5. Step 5: Solve for x
    x = 56,417,628.41/9,074.26
  6. Step 6: Final answer
    x = 6,217.33

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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.