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Finding the Fourth Proportional to 9,829.82, 13,564.13 and 5,850.16

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Solution

The fourth proportional to 9,829.82, 13,564.13 and 5,850.16 is: 8,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.82 : 13,564.13 = 5,850.16 : x
  2. Step 2: Convert to fraction form
    9,829.82/13,564.13 = 5,850.16/x
  3. Step 3: Cross multiply
    9,829.82x = 13,564.13 × 5,850.16
  4. Step 4: Simplify right side
    9,829.82x = 79,352,267.60
  5. Step 5: Solve for x
    x = 79,352,267.60/9,829.82
  6. Step 6: Final answer
    x = 8,072.60

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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.