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Finding the Fourth Proportional to 9,111.80, 13,667.70 and 5,216.60

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Solution

The fourth proportional to 9,111.80, 13,667.70 and 5,216.60 is: 7,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.80 : 13,667.70 = 5,216.60 : x
  2. Step 2: Convert to fraction form
    9,111.80/13,667.70 = 5,216.60/x
  3. Step 3: Cross multiply
    9,111.80x = 13,667.70 × 5,216.60
  4. Step 4: Simplify right side
    9,111.80x = 71,298,923.82
  5. Step 5: Solve for x
    x = 71,298,923.82/9,111.80
  6. Step 6: Final answer
    x = 7,824.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.