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Finding the Fourth Proportional to 9,749, 14,616.20 and 3,171.26

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Solution

The fourth proportional to 9,749, 14,616.20 and 3,171.26 is: 4,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749 : 14,616.20 = 3,171.26 : x
  2. Step 2: Convert to fraction form
    9,749/14,616.20 = 3,171.26/x
  3. Step 3: Cross multiply
    9,749x = 14,616.20 × 3,171.26
  4. Step 4: Simplify right side
    9,749x = 46,351,770.41
  5. Step 5: Solve for x
    x = 46,351,770.41/9,749
  6. Step 6: Final answer
    x = 4,754.52

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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.