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Finding the Fourth Proportional to 6,393.74, 8,823.38 and 3,740.63

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Solution

The fourth proportional to 6,393.74, 8,823.38 and 3,740.63 is: 5,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.74 : 8,823.38 = 3,740.63 : x
  2. Step 2: Convert to fraction form
    6,393.74/8,823.38 = 3,740.63/x
  3. Step 3: Cross multiply
    6,393.74x = 8,823.38 × 3,740.63
  4. Step 4: Simplify right side
    6,393.74x = 33,005,007.78
  5. Step 5: Solve for x
    x = 33,005,007.78/6,393.74
  6. Step 6: Final answer
    x = 5,162.09

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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.