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Finding the Fourth Proportional to 9,751.64, 14,626.59 and 2,731.05

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Solution

The fourth proportional to 9,751.64, 14,626.59 and 2,731.05 is: 4,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.64 : 14,626.59 = 2,731.05 : x
  2. Step 2: Convert to fraction form
    9,751.64/14,626.59 = 2,731.05/x
  3. Step 3: Cross multiply
    9,751.64x = 14,626.59 × 2,731.05
  4. Step 4: Simplify right side
    9,751.64x = 39,945,948.62
  5. Step 5: Solve for x
    x = 39,945,948.62/9,751.64
  6. Step 6: Final answer
    x = 4,096.33

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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.