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Finding the Fourth Proportional to 6,418.16, 9,627.07 and 4,861.12

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Solution

The fourth proportional to 6,418.16, 9,627.07 and 4,861.12 is: 7,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.16 : 9,627.07 = 4,861.12 : x
  2. Step 2: Convert to fraction form
    6,418.16/9,627.07 = 4,861.12/x
  3. Step 3: Cross multiply
    6,418.16x = 9,627.07 × 4,861.12
  4. Step 4: Simplify right side
    6,418.16x = 46,798,350.49
  5. Step 5: Solve for x
    x = 46,798,350.49/6,418.16
  6. Step 6: Final answer
    x = 7,291.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.