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Finding the Fourth Proportional to 6,292.80, 9,438.80 and 1,910.30

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Solution

The fourth proportional to 6,292.80, 9,438.80 and 1,910.30 is: 2,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.80 : 9,438.80 = 1,910.30 : x
  2. Step 2: Convert to fraction form
    6,292.80/9,438.80 = 1,910.30/x
  3. Step 3: Cross multiply
    6,292.80x = 9,438.80 × 1,910.30
  4. Step 4: Simplify right side
    6,292.80x = 18,030,882.89
  5. Step 5: Solve for x
    x = 18,030,882.89/6,292.80
  6. Step 6: Final answer
    x = 2,865.32

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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.