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Finding the Fourth Proportional to 9,650.64, 14,474.23 and 5,206.23

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Solution

The fourth proportional to 9,650.64, 14,474.23 and 5,206.23 is: 7,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.64 : 14,474.23 = 5,206.23 : x
  2. Step 2: Convert to fraction form
    9,650.64/14,474.23 = 5,206.23/x
  3. Step 3: Cross multiply
    9,650.64x = 14,474.23 × 5,206.23
  4. Step 4: Simplify right side
    9,650.64x = 75,356,144.42
  5. Step 5: Solve for x
    x = 75,356,144.42/9,650.64
  6. Step 6: Final answer
    x = 7,808.41

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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.