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Finding the Fourth Proportional to 9,372.66, 14,058.98 and 3,828.61

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Solution

The fourth proportional to 9,372.66, 14,058.98 and 3,828.61 is: 5,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.66 : 14,058.98 = 3,828.61 : x
  2. Step 2: Convert to fraction form
    9,372.66/14,058.98 = 3,828.61/x
  3. Step 3: Cross multiply
    9,372.66x = 14,058.98 × 3,828.61
  4. Step 4: Simplify right side
    9,372.66x = 53,826,351.42
  5. Step 5: Solve for x
    x = 53,826,351.42/9,372.66
  6. Step 6: Final answer
    x = 5,742.91

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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.