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Finding the Fourth Proportional to 9,466.77, 14,200.17 and 4,266.57

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Solution

The fourth proportional to 9,466.77, 14,200.17 and 4,266.57 is: 6,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.77 : 14,200.17 = 4,266.57 : x
  2. Step 2: Convert to fraction form
    9,466.77/14,200.17 = 4,266.57/x
  3. Step 3: Cross multiply
    9,466.77x = 14,200.17 × 4,266.57
  4. Step 4: Simplify right side
    9,466.77x = 60,586,019.32
  5. Step 5: Solve for x
    x = 60,586,019.32/9,466.77
  6. Step 6: Final answer
    x = 6,399.86

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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.