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Finding the Fourth Proportional to 9,412.84, 14,119.21 and 2,296.99

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Solution

The fourth proportional to 9,412.84, 14,119.21 and 2,296.99 is: 3,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.84 : 14,119.21 = 2,296.99 : x
  2. Step 2: Convert to fraction form
    9,412.84/14,119.21 = 2,296.99/x
  3. Step 3: Cross multiply
    9,412.84x = 14,119.21 × 2,296.99
  4. Step 4: Simplify right side
    9,412.84x = 32,431,704.70
  5. Step 5: Solve for x
    x = 32,431,704.70/9,412.84
  6. Step 6: Final answer
    x = 3,445.47

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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.