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Finding the Fourth Proportional to 6,977.27, 9,625.05 and 4,456.73

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Solution

The fourth proportional to 6,977.27, 9,625.05 and 4,456.73 is: 6,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.27 : 9,625.05 = 4,456.73 : x
  2. Step 2: Convert to fraction form
    6,977.27/9,625.05 = 4,456.73/x
  3. Step 3: Cross multiply
    6,977.27x = 9,625.05 × 4,456.73
  4. Step 4: Simplify right side
    6,977.27x = 42,896,200.96
  5. Step 5: Solve for x
    x = 42,896,200.96/6,977.27
  6. Step 6: Final answer
    x = 6,148.00

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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.