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Finding the Fourth Proportional to 9,877.11, 14,821.14 and 4,033.27

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Solution

The fourth proportional to 9,877.11, 14,821.14 and 4,033.27 is: 6,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.11 : 14,821.14 = 4,033.27 : x
  2. Step 2: Convert to fraction form
    9,877.11/14,821.14 = 4,033.27/x
  3. Step 3: Cross multiply
    9,877.11x = 14,821.14 × 4,033.27
  4. Step 4: Simplify right side
    9,877.11x = 59,777,586.92
  5. Step 5: Solve for x
    x = 59,777,586.92/9,877.11
  6. Step 6: Final answer
    x = 6,052.13

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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.