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Finding the Fourth Proportional to 6,829.27, 9,427.30 and 4,592.44

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Solution

The fourth proportional to 6,829.27, 9,427.30 and 4,592.44 is: 6,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.27 : 9,427.30 = 4,592.44 : x
  2. Step 2: Convert to fraction form
    6,829.27/9,427.30 = 4,592.44/x
  3. Step 3: Cross multiply
    6,829.27x = 9,427.30 × 4,592.44
  4. Step 4: Simplify right side
    6,829.27x = 43,294,309.61
  5. Step 5: Solve for x
    x = 43,294,309.61/6,829.27
  6. Step 6: Final answer
    x = 6,339.52

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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.