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Finding the Fourth Proportional to 6,977.06, 9,630.87 and 4,619.96

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Solution

The fourth proportional to 6,977.06, 9,630.87 and 4,619.96 is: 6,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.06 : 9,630.87 = 4,619.96 : x
  2. Step 2: Convert to fraction form
    6,977.06/9,630.87 = 4,619.96/x
  3. Step 3: Cross multiply
    6,977.06x = 9,630.87 × 4,619.96
  4. Step 4: Simplify right side
    6,977.06x = 44,494,234.17
  5. Step 5: Solve for x
    x = 44,494,234.17/6,977.06
  6. Step 6: Final answer
    x = 6,377.22

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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.