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Finding the Fourth Proportional to 9,650.40, 14,471.49 and 5,492.37

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Solution

The fourth proportional to 9,650.40, 14,471.49 and 5,492.37 is: 8,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.40 : 14,471.49 = 5,492.37 : x
  2. Step 2: Convert to fraction form
    9,650.40/14,471.49 = 5,492.37/x
  3. Step 3: Cross multiply
    9,650.40x = 14,471.49 × 5,492.37
  4. Step 4: Simplify right side
    9,650.40x = 79,482,777.53
  5. Step 5: Solve for x
    x = 79,482,777.53/9,650.40
  6. Step 6: Final answer
    x = 8,236.22

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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.