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Finding the Fourth Proportional to 9,834.85, 13,589.36 and 7,861.69

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Solution

The fourth proportional to 9,834.85, 13,589.36 and 7,861.69 is: 10,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.85 : 13,589.36 = 7,861.69 : x
  2. Step 2: Convert to fraction form
    9,834.85/13,589.36 = 7,861.69/x
  3. Step 3: Cross multiply
    9,834.85x = 13,589.36 × 7,861.69
  4. Step 4: Simplify right side
    9,834.85x = 106,835,335.62
  5. Step 5: Solve for x
    x = 106,835,335.62/9,834.85
  6. Step 6: Final answer
    x = 10,862.93

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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.