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Finding the Fourth Proportional to 9,123.30, 13,675.91 and 3,859.74

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Solution

The fourth proportional to 9,123.30, 13,675.91 and 3,859.74 is: 5,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.30 : 13,675.91 = 3,859.74 : x
  2. Step 2: Convert to fraction form
    9,123.30/13,675.91 = 3,859.74/x
  3. Step 3: Cross multiply
    9,123.30x = 13,675.91 × 3,859.74
  4. Step 4: Simplify right side
    9,123.30x = 52,785,437.56
  5. Step 5: Solve for x
    x = 52,785,437.56/9,123.30
  6. Step 6: Final answer
    x = 5,785.78

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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.