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Finding the Fourth Proportional to 6,817.74, 9,407.93 and 3,833.01

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Solution

The fourth proportional to 6,817.74, 9,407.93 and 3,833.01 is: 5,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.74 : 9,407.93 = 3,833.01 : x
  2. Step 2: Convert to fraction form
    6,817.74/9,407.93 = 3,833.01/x
  3. Step 3: Cross multiply
    6,817.74x = 9,407.93 × 3,833.01
  4. Step 4: Simplify right side
    6,817.74x = 36,060,694.12
  5. Step 5: Solve for x
    x = 36,060,694.12/6,817.74
  6. Step 6: Final answer
    x = 5,289.24

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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.