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Finding the Fourth Proportional to 9,782.67, 13,501.17 and 5,590.92

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Solution

The fourth proportional to 9,782.67, 13,501.17 and 5,590.92 is: 7,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.67 : 13,501.17 = 5,590.92 : x
  2. Step 2: Convert to fraction form
    9,782.67/13,501.17 = 5,590.92/x
  3. Step 3: Cross multiply
    9,782.67x = 13,501.17 × 5,590.92
  4. Step 4: Simplify right side
    9,782.67x = 75,483,961.38
  5. Step 5: Solve for x
    x = 75,483,961.38/9,782.67
  6. Step 6: Final answer
    x = 7,716.09

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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.