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Finding the Fourth Proportional to 9,344.64, 14,019.68 and 2,771.00

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Solution

The fourth proportional to 9,344.64, 14,019.68 and 2,771.00 is: 4,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.64 : 14,019.68 = 2,771.00 : x
  2. Step 2: Convert to fraction form
    9,344.64/14,019.68 = 2,771.00/x
  3. Step 3: Cross multiply
    9,344.64x = 14,019.68 × 2,771.00
  4. Step 4: Simplify right side
    9,344.64x = 38,848,449.33
  5. Step 5: Solve for x
    x = 38,848,449.33/9,344.64
  6. Step 6: Final answer
    x = 4,157.30

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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.