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Finding the Fourth Proportional to 9,919.65, 14,880.02 and 2,993.97

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Solution

The fourth proportional to 9,919.65, 14,880.02 and 2,993.97 is: 4,491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.65 : 14,880.02 = 2,993.97 : x
  2. Step 2: Convert to fraction form
    9,919.65/14,880.02 = 2,993.97/x
  3. Step 3: Cross multiply
    9,919.65x = 14,880.02 × 2,993.97
  4. Step 4: Simplify right side
    9,919.65x = 44,550,318.51
  5. Step 5: Solve for x
    x = 44,550,318.51/9,919.65
  6. Step 6: Final answer
    x = 4,491.12

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Why These Related Problems?

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