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Finding the Fourth Proportional to 9,871.53, 14,813.14 and 3,635.92

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Solution

The fourth proportional to 9,871.53, 14,813.14 and 3,635.92 is: 5,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.53 : 14,813.14 = 3,635.92 : x
  2. Step 2: Convert to fraction form
    9,871.53/14,813.14 = 3,635.92/x
  3. Step 3: Cross multiply
    9,871.53x = 14,813.14 × 3,635.92
  4. Step 4: Simplify right side
    9,871.53x = 53,859,391.99
  5. Step 5: Solve for x
    x = 53,859,391.99/9,871.53
  6. Step 6: Final answer
    x = 5,456.03

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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.