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Finding the Fourth Proportional to 9,751.40, 14,628.86 and 3,177

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Solution

The fourth proportional to 9,751.40, 14,628.86 and 3,177 is: 4,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.40 : 14,628.86 = 3,177 : x
  2. Step 2: Convert to fraction form
    9,751.40/14,628.86 = 3,177/x
  3. Step 3: Cross multiply
    9,751.40x = 14,628.86 × 3,177
  4. Step 4: Simplify right side
    9,751.40x = 46,475,888.22
  5. Step 5: Solve for x
    x = 46,475,888.22/9,751.40
  6. Step 6: Final answer
    x = 4,766.07

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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.