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Finding the Fourth Proportional to 6,732, 9,290.16 and 3,788

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Solution

The fourth proportional to 6,732, 9,290.16 and 3,788 is: 5,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732 : 9,290.16 = 3,788 : x
  2. Step 2: Convert to fraction form
    6,732/9,290.16 = 3,788/x
  3. Step 3: Cross multiply
    6,732x = 9,290.16 × 3,788
  4. Step 4: Simplify right side
    6,732x = 35,191,126.08
  5. Step 5: Solve for x
    x = 35,191,126.08/6,732
  6. Step 6: Final answer
    x = 5,227.44

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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.