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Finding the Fourth Proportional to 6,471.90, 9,706.33 and 2,775.87

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Solution

The fourth proportional to 6,471.90, 9,706.33 and 2,775.87 is: 4,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.90 : 9,706.33 = 2,775.87 : x
  2. Step 2: Convert to fraction form
    6,471.90/9,706.33 = 2,775.87/x
  3. Step 3: Cross multiply
    6,471.90x = 9,706.33 × 2,775.87
  4. Step 4: Simplify right side
    6,471.90x = 26,943,510.26
  5. Step 5: Solve for x
    x = 26,943,510.26/6,471.90
  6. Step 6: Final answer
    x = 4,163.15

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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.