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Finding the Fourth Proportional to 9,234.42, 13,854 and 2,661.12

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Solution

The fourth proportional to 9,234.42, 13,854 and 2,661.12 is: 3,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.42 : 13,854 = 2,661.12 : x
  2. Step 2: Convert to fraction form
    9,234.42/13,854 = 2,661.12/x
  3. Step 3: Cross multiply
    9,234.42x = 13,854 × 2,661.12
  4. Step 4: Simplify right side
    9,234.42x = 36,867,156.48
  5. Step 5: Solve for x
    x = 36,867,156.48/9,234.42
  6. Step 6: Final answer
    x = 3,992.36

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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.