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Finding the Fourth Proportional to 6,719.68, 9,273.93 and 3,735.81

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Solution

The fourth proportional to 6,719.68, 9,273.93 and 3,735.81 is: 5,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.68 : 9,273.93 = 3,735.81 : x
  2. Step 2: Convert to fraction form
    6,719.68/9,273.93 = 3,735.81/x
  3. Step 3: Cross multiply
    6,719.68x = 9,273.93 × 3,735.81
  4. Step 4: Simplify right side
    6,719.68x = 34,645,621.75
  5. Step 5: Solve for x
    x = 34,645,621.75/6,719.68
  6. Step 6: Final answer
    x = 5,155.84

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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.