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Finding the Fourth Proportional to 10,093.44, 13,921.50 and 6,950.64

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Solution

The fourth proportional to 10,093.44, 13,921.50 and 6,950.64 is: 9,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.44 : 13,921.50 = 6,950.64 : x
  2. Step 2: Convert to fraction form
    10,093.44/13,921.50 = 6,950.64/x
  3. Step 3: Cross multiply
    10,093.44x = 13,921.50 × 6,950.64
  4. Step 4: Simplify right side
    10,093.44x = 96,763,334.76
  5. Step 5: Solve for x
    x = 96,763,334.76/10,093.44
  6. Step 6: Final answer
    x = 9,586.75

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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.