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Finding the Fourth Proportional to 9,751.16, 14,626.71 and 3,177.33

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Solution

The fourth proportional to 9,751.16, 14,626.71 and 3,177.33 is: 4,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.16 : 14,626.71 = 3,177.33 : x
  2. Step 2: Convert to fraction form
    9,751.16/14,626.71 = 3,177.33/x
  3. Step 3: Cross multiply
    9,751.16x = 14,626.71 × 3,177.33
  4. Step 4: Simplify right side
    9,751.16x = 46,473,884.48
  5. Step 5: Solve for x
    x = 46,473,884.48/9,751.16
  6. Step 6: Final answer
    x = 4,765.99

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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.