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Finding the Fourth Proportional to 9,751.66, 14,626.58 and 2,731.05

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Solution

The fourth proportional to 9,751.66, 14,626.58 and 2,731.05 is: 4,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.66 : 14,626.58 = 2,731.05 : x
  2. Step 2: Convert to fraction form
    9,751.66/14,626.58 = 2,731.05/x
  3. Step 3: Cross multiply
    9,751.66x = 14,626.58 × 2,731.05
  4. Step 4: Simplify right side
    9,751.66x = 39,945,907.65
  5. Step 5: Solve for x
    x = 39,945,907.65/9,751.66
  6. Step 6: Final answer
    x = 4,096.32

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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.