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Finding the Fourth Proportional to 6,822.72, 9,416.52 and 4,696.47

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Solution

The fourth proportional to 6,822.72, 9,416.52 and 4,696.47 is: 6,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.72 : 9,416.52 = 4,696.47 : x
  2. Step 2: Convert to fraction form
    6,822.72/9,416.52 = 4,696.47/x
  3. Step 3: Cross multiply
    6,822.72x = 9,416.52 × 4,696.47
  4. Step 4: Simplify right side
    6,822.72x = 44,224,403.68
  5. Step 5: Solve for x
    x = 44,224,403.68/6,822.72
  6. Step 6: Final answer
    x = 6,481.93

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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.