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Finding the Fourth Proportional to 9,633.62, 14,453.20 and 4,010.20

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Solution

The fourth proportional to 9,633.62, 14,453.20 and 4,010.20 is: 6,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.62 : 14,453.20 = 4,010.20 : x
  2. Step 2: Convert to fraction form
    9,633.62/14,453.20 = 4,010.20/x
  3. Step 3: Cross multiply
    9,633.62x = 14,453.20 × 4,010.20
  4. Step 4: Simplify right side
    9,633.62x = 57,960,222.64
  5. Step 5: Solve for x
    x = 57,960,222.64/9,633.62
  6. Step 6: Final answer
    x = 6,016.45

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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.