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Finding the Fourth Proportional to 6,272.30, 9,409.80 and 1,890.20

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Solution

The fourth proportional to 6,272.30, 9,409.80 and 1,890.20 is: 2,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.30 : 9,409.80 = 1,890.20 : x
  2. Step 2: Convert to fraction form
    6,272.30/9,409.80 = 1,890.20/x
  3. Step 3: Cross multiply
    6,272.30x = 9,409.80 × 1,890.20
  4. Step 4: Simplify right side
    6,272.30x = 17,786,403.96
  5. Step 5: Solve for x
    x = 17,786,403.96/6,272.30
  6. Step 6: Final answer
    x = 2,835.71

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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.