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Finding the Fourth Proportional to 9,299.50, 12,833 and 5,050.36

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Solution

The fourth proportional to 9,299.50, 12,833 and 5,050.36 is: 6,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.50 : 12,833 = 5,050.36 : x
  2. Step 2: Convert to fraction form
    9,299.50/12,833 = 5,050.36/x
  3. Step 3: Cross multiply
    9,299.50x = 12,833 × 5,050.36
  4. Step 4: Simplify right side
    9,299.50x = 64,811,269.88
  5. Step 5: Solve for x
    x = 64,811,269.88/9,299.50
  6. Step 6: Final answer
    x = 6,969.33

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Why These Related Problems?

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