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Finding the Fourth Proportional to 6,857.55, 9,456.92 and 4,729.68

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Solution

The fourth proportional to 6,857.55, 9,456.92 and 4,729.68 is: 6,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.55 : 9,456.92 = 4,729.68 : x
  2. Step 2: Convert to fraction form
    6,857.55/9,456.92 = 4,729.68/x
  3. Step 3: Cross multiply
    6,857.55x = 9,456.92 × 4,729.68
  4. Step 4: Simplify right side
    6,857.55x = 44,728,199.47
  5. Step 5: Solve for x
    x = 44,728,199.47/6,857.55
  6. Step 6: Final answer
    x = 6,522.48

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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.