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Finding the Fourth Proportional to 9,227.48, 12,730.30 and 5,684.54

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Solution

The fourth proportional to 9,227.48, 12,730.30 and 5,684.54 is: 7,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.48 : 12,730.30 = 5,684.54 : x
  2. Step 2: Convert to fraction form
    9,227.48/12,730.30 = 5,684.54/x
  3. Step 3: Cross multiply
    9,227.48x = 12,730.30 × 5,684.54
  4. Step 4: Simplify right side
    9,227.48x = 72,365,821.70
  5. Step 5: Solve for x
    x = 72,365,821.70/9,227.48
  6. Step 6: Final answer
    x = 7,842.43

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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.