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Finding the Fourth Proportional to 9,662.37, 14,466.18 and 6,143.64

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Solution

The fourth proportional to 9,662.37, 14,466.18 and 6,143.64 is: 9,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.37 : 14,466.18 = 6,143.64 : x
  2. Step 2: Convert to fraction form
    9,662.37/14,466.18 = 6,143.64/x
  3. Step 3: Cross multiply
    9,662.37x = 14,466.18 × 6,143.64
  4. Step 4: Simplify right side
    9,662.37x = 88,875,002.10
  5. Step 5: Solve for x
    x = 88,875,002.10/9,662.37
  6. Step 6: Final answer
    x = 9,198.05

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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.