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Finding the Fourth Proportional to 9,123.14, 13,690.12 and 3,857.87

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Solution

The fourth proportional to 9,123.14, 13,690.12 and 3,857.87 is: 5,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.14 : 13,690.12 = 3,857.87 : x
  2. Step 2: Convert to fraction form
    9,123.14/13,690.12 = 3,857.87/x
  3. Step 3: Cross multiply
    9,123.14x = 13,690.12 × 3,857.87
  4. Step 4: Simplify right side
    9,123.14x = 52,814,703.24
  5. Step 5: Solve for x
    x = 52,814,703.24/9,123.14
  6. Step 6: Final answer
    x = 5,789.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.