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Finding the Fourth Proportional to 9,830.54, 13,564.03 and 5,850.87

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Solution

The fourth proportional to 9,830.54, 13,564.03 and 5,850.87 is: 8,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.54 : 13,564.03 = 5,850.87 : x
  2. Step 2: Convert to fraction form
    9,830.54/13,564.03 = 5,850.87/x
  3. Step 3: Cross multiply
    9,830.54x = 13,564.03 × 5,850.87
  4. Step 4: Simplify right side
    9,830.54x = 79,361,376.21
  5. Step 5: Solve for x
    x = 79,361,376.21/9,830.54
  6. Step 6: Final answer
    x = 8,072.94

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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.