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Finding the Fourth Proportional to 6,442.86, 8,893.27 and 3,926.60

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Solution

The fourth proportional to 6,442.86, 8,893.27 and 3,926.60 is: 5,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.86 : 8,893.27 = 3,926.60 : x
  2. Step 2: Convert to fraction form
    6,442.86/8,893.27 = 3,926.60/x
  3. Step 3: Cross multiply
    6,442.86x = 8,893.27 × 3,926.60
  4. Step 4: Simplify right side
    6,442.86x = 34,920,313.98
  5. Step 5: Solve for x
    x = 34,920,313.98/6,442.86
  6. Step 6: Final answer
    x = 5,420.00

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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.