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Finding the Fourth Proportional to 6,301.61, 8,694.74 and 5,297.14

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Solution

The fourth proportional to 6,301.61, 8,694.74 and 5,297.14 is: 7,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.61 : 8,694.74 = 5,297.14 : x
  2. Step 2: Convert to fraction form
    6,301.61/8,694.74 = 5,297.14/x
  3. Step 3: Cross multiply
    6,301.61x = 8,694.74 × 5,297.14
  4. Step 4: Simplify right side
    6,301.61x = 46,057,185.08
  5. Step 5: Solve for x
    x = 46,057,185.08/6,301.61
  6. Step 6: Final answer
    x = 7,308.80

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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.