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Finding the Fourth Proportional to 6,962.80, 9,612.36 and 4,736.56

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Solution

The fourth proportional to 6,962.80, 9,612.36 and 4,736.56 is: 6,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.80 : 9,612.36 = 4,736.56 : x
  2. Step 2: Convert to fraction form
    6,962.80/9,612.36 = 4,736.56/x
  3. Step 3: Cross multiply
    6,962.80x = 9,612.36 × 4,736.56
  4. Step 4: Simplify right side
    6,962.80x = 45,529,519.88
  5. Step 5: Solve for x
    x = 45,529,519.88/6,962.80
  6. Step 6: Final answer
    x = 6,538.97

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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.