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Finding the Fourth Proportional to 9,628.35, 13,287.14 and 5,850.51

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Solution

The fourth proportional to 9,628.35, 13,287.14 and 5,850.51 is: 8,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.35 : 13,287.14 = 5,850.51 : x
  2. Step 2: Convert to fraction form
    9,628.35/13,287.14 = 5,850.51/x
  3. Step 3: Cross multiply
    9,628.35x = 13,287.14 × 5,850.51
  4. Step 4: Simplify right side
    9,628.35x = 77,736,563.04
  5. Step 5: Solve for x
    x = 77,736,563.04/9,628.35
  6. Step 6: Final answer
    x = 8,073.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.