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Finding the Fourth Proportional to 9,947.45, 14,922.89 and 4,950.16

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Solution

The fourth proportional to 9,947.45, 14,922.89 and 4,950.16 is: 7,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.45 : 14,922.89 = 4,950.16 : x
  2. Step 2: Convert to fraction form
    9,947.45/14,922.89 = 4,950.16/x
  3. Step 3: Cross multiply
    9,947.45x = 14,922.89 × 4,950.16
  4. Step 4: Simplify right side
    9,947.45x = 73,870,693.16
  5. Step 5: Solve for x
    x = 73,870,693.16/9,947.45
  6. Step 6: Final answer
    x = 7,426.09

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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.