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Finding the Fourth Proportional to 9,269.82, 12,793.28 and 5,291.54

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Solution

The fourth proportional to 9,269.82, 12,793.28 and 5,291.54 is: 7,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.82 : 12,793.28 = 5,291.54 : x
  2. Step 2: Convert to fraction form
    9,269.82/12,793.28 = 5,291.54/x
  3. Step 3: Cross multiply
    9,269.82x = 12,793.28 × 5,291.54
  4. Step 4: Simplify right side
    9,269.82x = 67,696,152.85
  5. Step 5: Solve for x
    x = 67,696,152.85/9,269.82
  6. Step 6: Final answer
    x = 7,302.86

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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.