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Finding the Fourth Proportional to 9,751.38, 14,629.38 and 3,177.60

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Solution

The fourth proportional to 9,751.38, 14,629.38 and 3,177.60 is: 4,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.38 : 14,629.38 = 3,177.60 : x
  2. Step 2: Convert to fraction form
    9,751.38/14,629.38 = 3,177.60/x
  3. Step 3: Cross multiply
    9,751.38x = 14,629.38 × 3,177.60
  4. Step 4: Simplify right side
    9,751.38x = 46,486,317.89
  5. Step 5: Solve for x
    x = 46,486,317.89/9,751.38
  6. Step 6: Final answer
    x = 4,767.15

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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.