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Finding the Fourth Proportional to 6,861.98, 9,469.57 and 3,718.16

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Solution

The fourth proportional to 6,861.98, 9,469.57 and 3,718.16 is: 5,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.98 : 9,469.57 = 3,718.16 : x
  2. Step 2: Convert to fraction form
    6,861.98/9,469.57 = 3,718.16/x
  3. Step 3: Cross multiply
    6,861.98x = 9,469.57 × 3,718.16
  4. Step 4: Simplify right side
    6,861.98x = 35,209,376.39
  5. Step 5: Solve for x
    x = 35,209,376.39/6,861.98
  6. Step 6: Final answer
    x = 5,131.08

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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.