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Finding the Fourth Proportional to 6,776.30, 9,351.30 and 3,792.13

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Solution

The fourth proportional to 6,776.30, 9,351.30 and 3,792.13 is: 5,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.30 : 9,351.30 = 3,792.13 : x
  2. Step 2: Convert to fraction form
    6,776.30/9,351.30 = 3,792.13/x
  3. Step 3: Cross multiply
    6,776.30x = 9,351.30 × 3,792.13
  4. Step 4: Simplify right side
    6,776.30x = 35,461,345.27
  5. Step 5: Solve for x
    x = 35,461,345.27/6,776.30
  6. Step 6: Final answer
    x = 5,233.14

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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.