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Finding the Fourth Proportional to 9,794.61, 13,518.23 and 5,817.87

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Solution

The fourth proportional to 9,794.61, 13,518.23 and 5,817.87 is: 8,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.61 : 13,518.23 = 5,817.87 : x
  2. Step 2: Convert to fraction form
    9,794.61/13,518.23 = 5,817.87/x
  3. Step 3: Cross multiply
    9,794.61x = 13,518.23 × 5,817.87
  4. Step 4: Simplify right side
    9,794.61x = 78,647,275.68
  5. Step 5: Solve for x
    x = 78,647,275.68/9,794.61
  6. Step 6: Final answer
    x = 8,029.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.