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Finding the Fourth Proportional to 9,950.36, 14,922.57 and 7,168.64

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Solution

The fourth proportional to 9,950.36, 14,922.57 and 7,168.64 is: 10,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.36 : 14,922.57 = 7,168.64 : x
  2. Step 2: Convert to fraction form
    9,950.36/14,922.57 = 7,168.64/x
  3. Step 3: Cross multiply
    9,950.36x = 14,922.57 × 7,168.64
  4. Step 4: Simplify right side
    9,950.36x = 106,974,532.20
  5. Step 5: Solve for x
    x = 106,974,532.20/9,950.36
  6. Step 6: Final answer
    x = 10,750.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.