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Finding the Fourth Proportional to 6,861.56, 9,466.53 and 4,208

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Solution

The fourth proportional to 6,861.56, 9,466.53 and 4,208 is: 5,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.56 : 9,466.53 = 4,208 : x
  2. Step 2: Convert to fraction form
    6,861.56/9,466.53 = 4,208/x
  3. Step 3: Cross multiply
    6,861.56x = 9,466.53 × 4,208
  4. Step 4: Simplify right side
    6,861.56x = 39,835,158.24
  5. Step 5: Solve for x
    x = 39,835,158.24/6,861.56
  6. Step 6: Final answer
    x = 5,805.55

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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.