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Finding the Fourth Proportional to 9,483.75, 13,092.44 and 5,950.53

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Solution

The fourth proportional to 9,483.75, 13,092.44 and 5,950.53 is: 8,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.75 : 13,092.44 = 5,950.53 : x
  2. Step 2: Convert to fraction form
    9,483.75/13,092.44 = 5,950.53/x
  3. Step 3: Cross multiply
    9,483.75x = 13,092.44 × 5,950.53
  4. Step 4: Simplify right side
    9,483.75x = 77,906,927.24
  5. Step 5: Solve for x
    x = 77,906,927.24/9,483.75
  6. Step 6: Final answer
    x = 8,214.78

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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.