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Finding the Fourth Proportional to 9,305.14, 13,958.31 and 4,111

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Solution

The fourth proportional to 9,305.14, 13,958.31 and 4,111 is: 6,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.14 : 13,958.31 = 4,111 : x
  2. Step 2: Convert to fraction form
    9,305.14/13,958.31 = 4,111/x
  3. Step 3: Cross multiply
    9,305.14x = 13,958.31 × 4,111
  4. Step 4: Simplify right side
    9,305.14x = 57,382,612.41
  5. Step 5: Solve for x
    x = 57,382,612.41/9,305.14
  6. Step 6: Final answer
    x = 6,166.77

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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.