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Finding the Fourth Proportional to 9,903.42, 14,857.90 and 8,049.96

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Solution

The fourth proportional to 9,903.42, 14,857.90 and 8,049.96 is: 12,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.42 : 14,857.90 = 8,049.96 : x
  2. Step 2: Convert to fraction form
    9,903.42/14,857.90 = 8,049.96/x
  3. Step 3: Cross multiply
    9,903.42x = 14,857.90 × 8,049.96
  4. Step 4: Simplify right side
    9,903.42x = 119,605,500.68
  5. Step 5: Solve for x
    x = 119,605,500.68/9,903.42
  6. Step 6: Final answer
    x = 12,077.19

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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.