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Finding the Fourth Proportional to 9,950.42, 13,716.06 and 7,428.90

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Solution

The fourth proportional to 9,950.42, 13,716.06 and 7,428.90 is: 10,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.42 : 13,716.06 = 7,428.90 : x
  2. Step 2: Convert to fraction form
    9,950.42/13,716.06 = 7,428.90/x
  3. Step 3: Cross multiply
    9,950.42x = 13,716.06 × 7,428.90
  4. Step 4: Simplify right side
    9,950.42x = 101,895,238.13
  5. Step 5: Solve for x
    x = 101,895,238.13/9,950.42
  6. Step 6: Final answer
    x = 10,240.30

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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.