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Finding the Fourth Proportional to 6,471.51, 9,705.18 and 2,087.94

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Solution

The fourth proportional to 6,471.51, 9,705.18 and 2,087.94 is: 3,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.51 : 9,705.18 = 2,087.94 : x
  2. Step 2: Convert to fraction form
    6,471.51/9,705.18 = 2,087.94/x
  3. Step 3: Cross multiply
    6,471.51x = 9,705.18 × 2,087.94
  4. Step 4: Simplify right side
    6,471.51x = 20,263,833.53
  5. Step 5: Solve for x
    x = 20,263,833.53/6,471.51
  6. Step 6: Final answer
    x = 3,131.24

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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.