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Finding the Fourth Proportional to 9,630.75, 13,290.44 and 5,214.75

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Solution

The fourth proportional to 9,630.75, 13,290.44 and 5,214.75 is: 7,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.75 : 13,290.44 = 5,214.75 : x
  2. Step 2: Convert to fraction form
    9,630.75/13,290.44 = 5,214.75/x
  3. Step 3: Cross multiply
    9,630.75x = 13,290.44 × 5,214.75
  4. Step 4: Simplify right side
    9,630.75x = 69,306,295.92
  5. Step 5: Solve for x
    x = 69,306,295.92/9,630.75
  6. Step 6: Final answer
    x = 7,196.36

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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.