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Finding the Fourth Proportional to 9,875.82, 14,776.65 and 5,912.49

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Solution

The fourth proportional to 9,875.82, 14,776.65 and 5,912.49 is: 8,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.82 : 14,776.65 = 5,912.49 : x
  2. Step 2: Convert to fraction form
    9,875.82/14,776.65 = 5,912.49/x
  3. Step 3: Cross multiply
    9,875.82x = 14,776.65 × 5,912.49
  4. Step 4: Simplify right side
    9,875.82x = 87,366,795.36
  5. Step 5: Solve for x
    x = 87,366,795.36/9,875.82
  6. Step 6: Final answer
    x = 8,846.54

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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.