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Finding the Fourth Proportional to 6,301.93, 8,695.78 and 4,174.16

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Solution

The fourth proportional to 6,301.93, 8,695.78 and 4,174.16 is: 5,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.93 : 8,695.78 = 4,174.16 : x
  2. Step 2: Convert to fraction form
    6,301.93/8,695.78 = 4,174.16/x
  3. Step 3: Cross multiply
    6,301.93x = 8,695.78 × 4,174.16
  4. Step 4: Simplify right side
    6,301.93x = 36,297,577.04
  5. Step 5: Solve for x
    x = 36,297,577.04/6,301.93
  6. Step 6: Final answer
    x = 5,759.76

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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.