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Finding the Fourth Proportional to 9,207.76, 13,809.32 and 2,633.98

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Solution

The fourth proportional to 9,207.76, 13,809.32 and 2,633.98 is: 3,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.76 : 13,809.32 = 2,633.98 : x
  2. Step 2: Convert to fraction form
    9,207.76/13,809.32 = 2,633.98/x
  3. Step 3: Cross multiply
    9,207.76x = 13,809.32 × 2,633.98
  4. Step 4: Simplify right side
    9,207.76x = 36,373,472.69
  5. Step 5: Solve for x
    x = 36,373,472.69/9,207.76
  6. Step 6: Final answer
    x = 3,950.31

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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.