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Finding the Fourth Proportional to 6,061.97, 8,369.66 and 4,643.16

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Solution

The fourth proportional to 6,061.97, 8,369.66 and 4,643.16 is: 6,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.97 : 8,369.66 = 4,643.16 : x
  2. Step 2: Convert to fraction form
    6,061.97/8,369.66 = 4,643.16/x
  3. Step 3: Cross multiply
    6,061.97x = 8,369.66 × 4,643.16
  4. Step 4: Simplify right side
    6,061.97x = 38,861,650.75
  5. Step 5: Solve for x
    x = 38,861,650.75/6,061.97
  6. Step 6: Final answer
    x = 6,410.73

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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.