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Finding the Fourth Proportional to 6,471.20, 9,707.76 and 2,087.20

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Solution

The fourth proportional to 6,471.20, 9,707.76 and 2,087.20 is: 3,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.20 : 9,707.76 = 2,087.20 : x
  2. Step 2: Convert to fraction form
    6,471.20/9,707.76 = 2,087.20/x
  3. Step 3: Cross multiply
    6,471.20x = 9,707.76 × 2,087.20
  4. Step 4: Simplify right side
    6,471.20x = 20,262,036.67
  5. Step 5: Solve for x
    x = 20,262,036.67/6,471.20
  6. Step 6: Final answer
    x = 3,131.11

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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.