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Finding the Fourth Proportional to 6,468, 8,926.98 and 4,893.36

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Solution

The fourth proportional to 6,468, 8,926.98 and 4,893.36 is: 6,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468 : 8,926.98 = 4,893.36 : x
  2. Step 2: Convert to fraction form
    6,468/8,926.98 = 4,893.36/x
  3. Step 3: Cross multiply
    6,468x = 8,926.98 × 4,893.36
  4. Step 4: Simplify right side
    6,468x = 43,682,926.85
  5. Step 5: Solve for x
    x = 43,682,926.85/6,468
  6. Step 6: Final answer
    x = 6,753.70

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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.