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Finding the Fourth Proportional to 9,840.69, 13,578.42 and 5,861.16

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Solution

The fourth proportional to 9,840.69, 13,578.42 and 5,861.16 is: 8,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.69 : 13,578.42 = 5,861.16 : x
  2. Step 2: Convert to fraction form
    9,840.69/13,578.42 = 5,861.16/x
  3. Step 3: Cross multiply
    9,840.69x = 13,578.42 × 5,861.16
  4. Step 4: Simplify right side
    9,840.69x = 79,585,292.17
  5. Step 5: Solve for x
    x = 79,585,292.17/9,840.69
  6. Step 6: Final answer
    x = 8,087.37

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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.