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Finding the Fourth Proportional to 9,764.08, 14,602.92 and 8,675.44

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Solution

The fourth proportional to 9,764.08, 14,602.92 and 8,675.44 is: 12,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.08 : 14,602.92 = 8,675.44 : x
  2. Step 2: Convert to fraction form
    9,764.08/14,602.92 = 8,675.44/x
  3. Step 3: Cross multiply
    9,764.08x = 14,602.92 × 8,675.44
  4. Step 4: Simplify right side
    9,764.08x = 126,686,756.28
  5. Step 5: Solve for x
    x = 126,686,756.28/9,764.08
  6. Step 6: Final answer
    x = 12,974.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.