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Finding the Fourth Proportional to 9,940.42, 13,719.01 and 5,748.67

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Solution

The fourth proportional to 9,940.42, 13,719.01 and 5,748.67 is: 7,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.42 : 13,719.01 = 5,748.67 : x
  2. Step 2: Convert to fraction form
    9,940.42/13,719.01 = 5,748.67/x
  3. Step 3: Cross multiply
    9,940.42x = 13,719.01 × 5,748.67
  4. Step 4: Simplify right side
    9,940.42x = 78,866,061.22
  5. Step 5: Solve for x
    x = 78,866,061.22/9,940.42
  6. Step 6: Final answer
    x = 7,933.88

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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.