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Finding the Fourth Proportional to 9,344.65, 14,019.68 and 2,770.99

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Solution

The fourth proportional to 9,344.65, 14,019.68 and 2,770.99 is: 4,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.65 : 14,019.68 = 2,770.99 : x
  2. Step 2: Convert to fraction form
    9,344.65/14,019.68 = 2,770.99/x
  3. Step 3: Cross multiply
    9,344.65x = 14,019.68 × 2,770.99
  4. Step 4: Simplify right side
    9,344.65x = 38,848,344.18
  5. Step 5: Solve for x
    x = 38,848,344.18/9,344.65
  6. Step 6: Final answer
    x = 4,157.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.