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Finding the Fourth Proportional to 6,466.97, 9,695.54 and 3,344.99

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Solution

The fourth proportional to 6,466.97, 9,695.54 and 3,344.99 is: 5,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.97 : 9,695.54 = 3,344.99 : x
  2. Step 2: Convert to fraction form
    6,466.97/9,695.54 = 3,344.99/x
  3. Step 3: Cross multiply
    6,466.97x = 9,695.54 × 3,344.99
  4. Step 4: Simplify right side
    6,466.97x = 32,431,484.34
  5. Step 5: Solve for x
    x = 32,431,484.34/6,466.97
  6. Step 6: Final answer
    x = 5,014.94

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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.