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Finding the Fourth Proportional to 6,968.23, 9,612.78 and 4,612.34

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Solution

The fourth proportional to 6,968.23, 9,612.78 and 4,612.34 is: 6,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.23 : 9,612.78 = 4,612.34 : x
  2. Step 2: Convert to fraction form
    6,968.23/9,612.78 = 4,612.34/x
  3. Step 3: Cross multiply
    6,968.23x = 9,612.78 × 4,612.34
  4. Step 4: Simplify right side
    6,968.23x = 44,337,416.44
  5. Step 5: Solve for x
    x = 44,337,416.44/6,968.23
  6. Step 6: Final answer
    x = 6,362.80

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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.