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Finding the Fourth Proportional to 9,123.50, 13,690.69 and 3,858.23

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Solution

The fourth proportional to 9,123.50, 13,690.69 and 3,858.23 is: 5,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.50 : 13,690.69 = 3,858.23 : x
  2. Step 2: Convert to fraction form
    9,123.50/13,690.69 = 3,858.23/x
  3. Step 3: Cross multiply
    9,123.50x = 13,690.69 × 3,858.23
  4. Step 4: Simplify right side
    9,123.50x = 52,821,855.46
  5. Step 5: Solve for x
    x = 52,821,855.46/9,123.50
  6. Step 6: Final answer
    x = 5,789.65

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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.