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Finding the Fourth Proportional to 9,633.25, 13,293.90 and 5,217.25

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Solution

The fourth proportional to 9,633.25, 13,293.90 and 5,217.25 is: 7,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.25 : 13,293.90 = 5,217.25 : x
  2. Step 2: Convert to fraction form
    9,633.25/13,293.90 = 5,217.25/x
  3. Step 3: Cross multiply
    9,633.25x = 13,293.90 × 5,217.25
  4. Step 4: Simplify right side
    9,633.25x = 69,357,599.78
  5. Step 5: Solve for x
    x = 69,357,599.78/9,633.25
  6. Step 6: Final answer
    x = 7,199.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.