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Finding the Fourth Proportional to 9,472.34, 14,205.09 and 2,806.85

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Solution

The fourth proportional to 9,472.34, 14,205.09 and 2,806.85 is: 4,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.34 : 14,205.09 = 2,806.85 : x
  2. Step 2: Convert to fraction form
    9,472.34/14,205.09 = 2,806.85/x
  3. Step 3: Cross multiply
    9,472.34x = 14,205.09 × 2,806.85
  4. Step 4: Simplify right side
    9,472.34x = 39,871,556.87
  5. Step 5: Solve for x
    x = 39,871,556.87/9,472.34
  6. Step 6: Final answer
    x = 4,209.26

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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.