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Finding the Fourth Proportional to 9,950.32, 13,729.29 and 5,756.14

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Solution

The fourth proportional to 9,950.32, 13,729.29 and 5,756.14 is: 7,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.32 : 13,729.29 = 5,756.14 : x
  2. Step 2: Convert to fraction form
    9,950.32/13,729.29 = 5,756.14/x
  3. Step 3: Cross multiply
    9,950.32x = 13,729.29 × 5,756.14
  4. Step 4: Simplify right side
    9,950.32x = 79,027,715.34
  5. Step 5: Solve for x
    x = 79,027,715.34/9,950.32
  6. Step 6: Final answer
    x = 7,942.23

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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.