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Finding the Fourth Proportional to 9,589.69, 14,366.07 and 5,881.09

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Solution

The fourth proportional to 9,589.69, 14,366.07 and 5,881.09 is: 8,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.69 : 14,366.07 = 5,881.09 : x
  2. Step 2: Convert to fraction form
    9,589.69/14,366.07 = 5,881.09/x
  3. Step 3: Cross multiply
    9,589.69x = 14,366.07 × 5,881.09
  4. Step 4: Simplify right side
    9,589.69x = 84,488,150.62
  5. Step 5: Solve for x
    x = 84,488,150.62/9,589.69
  6. Step 6: Final answer
    x = 8,810.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.