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Finding the Fourth Proportional to 9,791.00, 14,657.76 and 6,081.99

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Solution

The fourth proportional to 9,791.00, 14,657.76 and 6,081.99 is: 9,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.00 : 14,657.76 = 6,081.99 : x
  2. Step 2: Convert to fraction form
    9,791.00/14,657.76 = 6,081.99/x
  3. Step 3: Cross multiply
    9,791.00x = 14,657.76 × 6,081.99
  4. Step 4: Simplify right side
    9,791.00x = 89,148,294.78
  5. Step 5: Solve for x
    x = 89,148,294.78/9,791.00
  6. Step 6: Final answer
    x = 9,105.13

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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.