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Finding the Fourth Proportional to 9,950.16, 13,732.56 and 5,758.68

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Solution

The fourth proportional to 9,950.16, 13,732.56 and 5,758.68 is: 7,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.16 : 13,732.56 = 5,758.68 : x
  2. Step 2: Convert to fraction form
    9,950.16/13,732.56 = 5,758.68/x
  3. Step 3: Cross multiply
    9,950.16x = 13,732.56 × 5,758.68
  4. Step 4: Simplify right side
    9,950.16x = 79,081,418.62
  5. Step 5: Solve for x
    x = 79,081,418.62/9,950.16
  6. Step 6: Final answer
    x = 7,947.75

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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.