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Finding the Fourth Proportional to 6,351.30, 9,525.87 and 1,733.22

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Solution

The fourth proportional to 6,351.30, 9,525.87 and 1,733.22 is: 2,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.30 : 9,525.87 = 1,733.22 : x
  2. Step 2: Convert to fraction form
    6,351.30/9,525.87 = 1,733.22/x
  3. Step 3: Cross multiply
    6,351.30x = 9,525.87 × 1,733.22
  4. Step 4: Simplify right side
    6,351.30x = 16,510,428.40
  5. Step 5: Solve for x
    x = 16,510,428.40/6,351.30
  6. Step 6: Final answer
    x = 2,599.54

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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.