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Finding the Fourth Proportional to 9,192.80, 12,683.85 and 5,415.68

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Solution

The fourth proportional to 9,192.80, 12,683.85 and 5,415.68 is: 7,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.80 : 12,683.85 = 5,415.68 : x
  2. Step 2: Convert to fraction form
    9,192.80/12,683.85 = 5,415.68/x
  3. Step 3: Cross multiply
    9,192.80x = 12,683.85 × 5,415.68
  4. Step 4: Simplify right side
    9,192.80x = 68,691,609.35
  5. Step 5: Solve for x
    x = 68,691,609.35/9,192.80
  6. Step 6: Final answer
    x = 7,472.33

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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.