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Finding the Fourth Proportional to 9,791.66, 14,668.99 and 7,589.61

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Solution

The fourth proportional to 9,791.66, 14,668.99 and 7,589.61 is: 11,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.66 : 14,668.99 = 7,589.61 : x
  2. Step 2: Convert to fraction form
    9,791.66/14,668.99 = 7,589.61/x
  3. Step 3: Cross multiply
    9,791.66x = 14,668.99 × 7,589.61
  4. Step 4: Simplify right side
    9,791.66x = 111,331,913.19
  5. Step 5: Solve for x
    x = 111,331,913.19/9,791.66
  6. Step 6: Final answer
    x = 11,370.08

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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.