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Finding the Fourth Proportional to 9,712.11, 14,568.99 and 2,692.13

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Solution

The fourth proportional to 9,712.11, 14,568.99 and 2,692.13 is: 4,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.11 : 14,568.99 = 2,692.13 : x
  2. Step 2: Convert to fraction form
    9,712.11/14,568.99 = 2,692.13/x
  3. Step 3: Cross multiply
    9,712.11x = 14,568.99 × 2,692.13
  4. Step 4: Simplify right side
    9,712.11x = 39,221,542.20
  5. Step 5: Solve for x
    x = 39,221,542.20/9,712.11
  6. Step 6: Final answer
    x = 4,038.42

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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.