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Finding the Fourth Proportional to 9,609.69, 13,262.45 and 5,634.17

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Solution

The fourth proportional to 9,609.69, 13,262.45 and 5,634.17 is: 7,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.69 : 13,262.45 = 5,634.17 : x
  2. Step 2: Convert to fraction form
    9,609.69/13,262.45 = 5,634.17/x
  3. Step 3: Cross multiply
    9,609.69x = 13,262.45 × 5,634.17
  4. Step 4: Simplify right side
    9,609.69x = 74,722,803.43
  5. Step 5: Solve for x
    x = 74,722,803.43/9,609.69
  6. Step 6: Final answer
    x = 7,775.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.