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Finding the Fourth Proportional to 9,171.72, 12,652.14 and 5,808.60

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Solution

The fourth proportional to 9,171.72, 12,652.14 and 5,808.60 is: 8,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.72 : 12,652.14 = 5,808.60 : x
  2. Step 2: Convert to fraction form
    9,171.72/12,652.14 = 5,808.60/x
  3. Step 3: Cross multiply
    9,171.72x = 12,652.14 × 5,808.60
  4. Step 4: Simplify right side
    9,171.72x = 73,491,220.40
  5. Step 5: Solve for x
    x = 73,491,220.40/9,171.72
  6. Step 6: Final answer
    x = 8,012.81

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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.