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Finding the Fourth Proportional to 9,882.63, 13,635.99 and 5,632.79

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Solution

The fourth proportional to 9,882.63, 13,635.99 and 5,632.79 is: 7,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.63 : 13,635.99 = 5,632.79 : x
  2. Step 2: Convert to fraction form
    9,882.63/13,635.99 = 5,632.79/x
  3. Step 3: Cross multiply
    9,882.63x = 13,635.99 × 5,632.79
  4. Step 4: Simplify right side
    9,882.63x = 76,808,599.93
  5. Step 5: Solve for x
    x = 76,808,599.93/9,882.63
  6. Step 6: Final answer
    x = 7,772.08

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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.