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Finding the Fourth Proportional to 9,839.40, 14,760.72 and 3,264.63

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Solution

The fourth proportional to 9,839.40, 14,760.72 and 3,264.63 is: 4,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.40 : 14,760.72 = 3,264.63 : x
  2. Step 2: Convert to fraction form
    9,839.40/14,760.72 = 3,264.63/x
  3. Step 3: Cross multiply
    9,839.40x = 14,760.72 × 3,264.63
  4. Step 4: Simplify right side
    9,839.40x = 48,188,289.33
  5. Step 5: Solve for x
    x = 48,188,289.33/9,839.40
  6. Step 6: Final answer
    x = 4,897.48

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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.