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Finding the Fourth Proportional to 6,287.80, 9,431.70 and 5,903.80

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Solution

The fourth proportional to 6,287.80, 9,431.70 and 5,903.80 is: 8,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.80 : 9,431.70 = 5,903.80 : x
  2. Step 2: Convert to fraction form
    6,287.80/9,431.70 = 5,903.80/x
  3. Step 3: Cross multiply
    6,287.80x = 9,431.70 × 5,903.80
  4. Step 4: Simplify right side
    6,287.80x = 55,682,870.46
  5. Step 5: Solve for x
    x = 55,682,870.46/6,287.80
  6. Step 6: Final answer
    x = 8,855.70

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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.