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Finding the Fourth Proportional to 9,650.10, 14,475.15 and 4,453.14

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Solution

The fourth proportional to 9,650.10, 14,475.15 and 4,453.14 is: 6,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.10 : 14,475.15 = 4,453.14 : x
  2. Step 2: Convert to fraction form
    9,650.10/14,475.15 = 4,453.14/x
  3. Step 3: Cross multiply
    9,650.10x = 14,475.15 × 4,453.14
  4. Step 4: Simplify right side
    9,650.10x = 64,459,869.47
  5. Step 5: Solve for x
    x = 64,459,869.47/9,650.10
  6. Step 6: Final answer
    x = 6,679.71

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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.