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Finding the Fourth Proportional to 6,471.90, 9,701.37 and 3,187.35

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Solution

The fourth proportional to 6,471.90, 9,701.37 and 3,187.35 is: 4,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.90 : 9,701.37 = 3,187.35 : x
  2. Step 2: Convert to fraction form
    6,471.90/9,701.37 = 3,187.35/x
  3. Step 3: Cross multiply
    6,471.90x = 9,701.37 × 3,187.35
  4. Step 4: Simplify right side
    6,471.90x = 30,921,661.67
  5. Step 5: Solve for x
    x = 30,921,661.67/6,471.90
  6. Step 6: Final answer
    x = 4,777.83

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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.