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Finding the Fourth Proportional to 9,882.05, 14,824.87 and 4,687.88

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Solution

The fourth proportional to 9,882.05, 14,824.87 and 4,687.88 is: 7,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.05 : 14,824.87 = 4,687.88 : x
  2. Step 2: Convert to fraction form
    9,882.05/14,824.87 = 4,687.88/x
  3. Step 3: Cross multiply
    9,882.05x = 14,824.87 × 4,687.88
  4. Step 4: Simplify right side
    9,882.05x = 69,497,125.73
  5. Step 5: Solve for x
    x = 69,497,125.73/9,882.05
  6. Step 6: Final answer
    x = 7,032.67

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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.