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Finding the Fourth Proportional to 9,356.08, 14,028.96 and 3,808

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Solution

The fourth proportional to 9,356.08, 14,028.96 and 3,808 is: 5,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.08 : 14,028.96 = 3,808 : x
  2. Step 2: Convert to fraction form
    9,356.08/14,028.96 = 3,808/x
  3. Step 3: Cross multiply
    9,356.08x = 14,028.96 × 3,808
  4. Step 4: Simplify right side
    9,356.08x = 53,422,279.68
  5. Step 5: Solve for x
    x = 53,422,279.68/9,356.08
  6. Step 6: Final answer
    x = 5,709.90

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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.