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Finding the Fourth Proportional to 9,393.87, 14,092.43 and 3,154.49

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Solution

The fourth proportional to 9,393.87, 14,092.43 and 3,154.49 is: 4,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.87 : 14,092.43 = 3,154.49 : x
  2. Step 2: Convert to fraction form
    9,393.87/14,092.43 = 3,154.49/x
  3. Step 3: Cross multiply
    9,393.87x = 14,092.43 × 3,154.49
  4. Step 4: Simplify right side
    9,393.87x = 44,454,374.23
  5. Step 5: Solve for x
    x = 44,454,374.23/9,393.87
  6. Step 6: Final answer
    x = 4,732.27

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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.