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Finding the Fourth Proportional to 6,327, 9,490.77 and 1,945.08

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Solution

The fourth proportional to 6,327, 9,490.77 and 1,945.08 is: 2,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327 : 9,490.77 = 1,945.08 : x
  2. Step 2: Convert to fraction form
    6,327/9,490.77 = 1,945.08/x
  3. Step 3: Cross multiply
    6,327x = 9,490.77 × 1,945.08
  4. Step 4: Simplify right side
    6,327x = 18,460,306.91
  5. Step 5: Solve for x
    x = 18,460,306.91/6,327
  6. Step 6: Final answer
    x = 2,917.70

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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.