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Finding the Fourth Proportional to 9,199.67, 13,780.04 and 7,635.96

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Solution

The fourth proportional to 9,199.67, 13,780.04 and 7,635.96 is: 11,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.67 : 13,780.04 = 7,635.96 : x
  2. Step 2: Convert to fraction form
    9,199.67/13,780.04 = 7,635.96/x
  3. Step 3: Cross multiply
    9,199.67x = 13,780.04 × 7,635.96
  4. Step 4: Simplify right side
    9,199.67x = 105,223,796.06
  5. Step 5: Solve for x
    x = 105,223,796.06/9,199.67
  6. Step 6: Final answer
    x = 11,437.79

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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.