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Finding the Fourth Proportional to 9,894.48, 14,839.31 and 3,318.96

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Solution

The fourth proportional to 9,894.48, 14,839.31 and 3,318.96 is: 4,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.48 : 14,839.31 = 3,318.96 : x
  2. Step 2: Convert to fraction form
    9,894.48/14,839.31 = 3,318.96/x
  3. Step 3: Cross multiply
    9,894.48x = 14,839.31 × 3,318.96
  4. Step 4: Simplify right side
    9,894.48x = 49,251,002.12
  5. Step 5: Solve for x
    x = 49,251,002.12/9,894.48
  6. Step 6: Final answer
    x = 4,977.63

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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.