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Finding the Fourth Proportional to 9,774.14, 14,661.90 and 3,930.75

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Solution

The fourth proportional to 9,774.14, 14,661.90 and 3,930.75 is: 5,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.14 : 14,661.90 = 3,930.75 : x
  2. Step 2: Convert to fraction form
    9,774.14/14,661.90 = 3,930.75/x
  3. Step 3: Cross multiply
    9,774.14x = 14,661.90 × 3,930.75
  4. Step 4: Simplify right side
    9,774.14x = 57,632,263.43
  5. Step 5: Solve for x
    x = 57,632,263.43/9,774.14
  6. Step 6: Final answer
    x = 5,896.41

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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.