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Finding the Fourth Proportional to 9,633.75, 13,294.58 and 5,217.75

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Solution

The fourth proportional to 9,633.75, 13,294.58 and 5,217.75 is: 7,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.75 : 13,294.58 = 5,217.75 : x
  2. Step 2: Convert to fraction form
    9,633.75/13,294.58 = 5,217.75/x
  3. Step 3: Cross multiply
    9,633.75x = 13,294.58 × 5,217.75
  4. Step 4: Simplify right side
    9,633.75x = 69,367,768.71
  5. Step 5: Solve for x
    x = 69,367,768.71/9,633.75
  6. Step 6: Final answer
    x = 7,200.50

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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.