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Finding the Fourth Proportional to 9,315.99, 13,976.82 and 2,742.23

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Solution

The fourth proportional to 9,315.99, 13,976.82 and 2,742.23 is: 4,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.99 : 13,976.82 = 2,742.23 : x
  2. Step 2: Convert to fraction form
    9,315.99/13,976.82 = 2,742.23/x
  3. Step 3: Cross multiply
    9,315.99x = 13,976.82 × 2,742.23
  4. Step 4: Simplify right side
    9,315.99x = 38,327,690.05
  5. Step 5: Solve for x
    x = 38,327,690.05/9,315.99
  6. Step 6: Final answer
    x = 4,114.18

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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.