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Finding the Fourth Proportional to 7,092.72, 9,778.32 and 5,764.32

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Solution

The fourth proportional to 7,092.72, 9,778.32 and 5,764.32 is: 7,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.72 : 9,778.32 = 5,764.32 : x
  2. Step 2: Convert to fraction form
    7,092.72/9,778.32 = 5,764.32/x
  3. Step 3: Cross multiply
    7,092.72x = 9,778.32 × 5,764.32
  4. Step 4: Simplify right side
    7,092.72x = 56,365,365.54
  5. Step 5: Solve for x
    x = 56,365,365.54/7,092.72
  6. Step 6: Final answer
    x = 7,946.93

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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.