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Finding the Fourth Proportional to 9,690.24, 13,376.94 and 7,451.32

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Solution

The fourth proportional to 9,690.24, 13,376.94 and 7,451.32 is: 10,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.24 : 13,376.94 = 7,451.32 : x
  2. Step 2: Convert to fraction form
    9,690.24/13,376.94 = 7,451.32/x
  3. Step 3: Cross multiply
    9,690.24x = 13,376.94 × 7,451.32
  4. Step 4: Simplify right side
    9,690.24x = 99,675,860.56
  5. Step 5: Solve for x
    x = 99,675,860.56/9,690.24
  6. Step 6: Final answer
    x = 10,286.21

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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.