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Finding the Fourth Proportional to 6,365.21, 8,782.63 and 3,846.82

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Solution

The fourth proportional to 6,365.21, 8,782.63 and 3,846.82 is: 5,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.21 : 8,782.63 = 3,846.82 : x
  2. Step 2: Convert to fraction form
    6,365.21/8,782.63 = 3,846.82/x
  3. Step 3: Cross multiply
    6,365.21x = 8,782.63 × 3,846.82
  4. Step 4: Simplify right side
    6,365.21x = 33,785,156.93
  5. Step 5: Solve for x
    x = 33,785,156.93/6,365.21
  6. Step 6: Final answer
    x = 5,307.79

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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.