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Finding the Fourth Proportional to 6,109.93, 9,165.75 and 1,949.50

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Solution

The fourth proportional to 6,109.93, 9,165.75 and 1,949.50 is: 2,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.93 : 9,165.75 = 1,949.50 : x
  2. Step 2: Convert to fraction form
    6,109.93/9,165.75 = 1,949.50/x
  3. Step 3: Cross multiply
    6,109.93x = 9,165.75 × 1,949.50
  4. Step 4: Simplify right side
    6,109.93x = 17,868,629.63
  5. Step 5: Solve for x
    x = 17,868,629.63/6,109.93
  6. Step 6: Final answer
    x = 2,924.52

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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.