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Finding the Fourth Proportional to 9,662.64, 14,500.44 and 3,422.70

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Solution

The fourth proportional to 9,662.64, 14,500.44 and 3,422.70 is: 5,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.64 : 14,500.44 = 3,422.70 : x
  2. Step 2: Convert to fraction form
    9,662.64/14,500.44 = 3,422.70/x
  3. Step 3: Cross multiply
    9,662.64x = 14,500.44 × 3,422.70
  4. Step 4: Simplify right side
    9,662.64x = 49,630,655.99
  5. Step 5: Solve for x
    x = 49,630,655.99/9,662.64
  6. Step 6: Final answer
    x = 5,136.35

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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.