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Finding the Fourth Proportional to 6,141.73, 9,211.29 and 1,758.01

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Solution

The fourth proportional to 6,141.73, 9,211.29 and 1,758.01 is: 2,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.73 : 9,211.29 = 1,758.01 : x
  2. Step 2: Convert to fraction form
    6,141.73/9,211.29 = 1,758.01/x
  3. Step 3: Cross multiply
    6,141.73x = 9,211.29 × 1,758.01
  4. Step 4: Simplify right side
    6,141.73x = 16,193,539.93
  5. Step 5: Solve for x
    x = 16,193,539.93/6,141.73
  6. Step 6: Final answer
    x = 2,636.64

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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.