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Finding the Fourth Proportional to 9,313.75, 12,855.99 and 5,965.59

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Solution

The fourth proportional to 9,313.75, 12,855.99 and 5,965.59 is: 8,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.75 : 12,855.99 = 5,965.59 : x
  2. Step 2: Convert to fraction form
    9,313.75/12,855.99 = 5,965.59/x
  3. Step 3: Cross multiply
    9,313.75x = 12,855.99 × 5,965.59
  4. Step 4: Simplify right side
    9,313.75x = 76,693,565.38
  5. Step 5: Solve for x
    x = 76,693,565.38/9,313.75
  6. Step 6: Final answer
    x = 8,234.45

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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.