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Finding the Fourth Proportional to 9,297.36, 13,948.20 and 2,723.40

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Solution

The fourth proportional to 9,297.36, 13,948.20 and 2,723.40 is: 4,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.36 : 13,948.20 = 2,723.40 : x
  2. Step 2: Convert to fraction form
    9,297.36/13,948.20 = 2,723.40/x
  3. Step 3: Cross multiply
    9,297.36x = 13,948.20 × 2,723.40
  4. Step 4: Simplify right side
    9,297.36x = 37,986,527.88
  5. Step 5: Solve for x
    x = 37,986,527.88/9,297.36
  6. Step 6: Final answer
    x = 4,085.73

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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.