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Finding the Fourth Proportional to 9,858.75, 13,605.63 and 5,667.27

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Solution

The fourth proportional to 9,858.75, 13,605.63 and 5,667.27 is: 7,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.75 : 13,605.63 = 5,667.27 : x
  2. Step 2: Convert to fraction form
    9,858.75/13,605.63 = 5,667.27/x
  3. Step 3: Cross multiply
    9,858.75x = 13,605.63 × 5,667.27
  4. Step 4: Simplify right side
    9,858.75x = 77,106,778.73
  5. Step 5: Solve for x
    x = 77,106,778.73/9,858.75
  6. Step 6: Final answer
    x = 7,821.15

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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.