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Finding the Fourth Proportional to 6,646.23, 9,164.82 and 4,965

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Solution

The fourth proportional to 6,646.23, 9,164.82 and 4,965 is: 6,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.23 : 9,164.82 = 4,965 : x
  2. Step 2: Convert to fraction form
    6,646.23/9,164.82 = 4,965/x
  3. Step 3: Cross multiply
    6,646.23x = 9,164.82 × 4,965
  4. Step 4: Simplify right side
    6,646.23x = 45,503,331.30
  5. Step 5: Solve for x
    x = 45,503,331.30/6,646.23
  6. Step 6: Final answer
    x = 6,846.49

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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.