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Finding the Fourth Proportional to 6,271.97, 9,407.75 and 2,111.90

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Solution

The fourth proportional to 6,271.97, 9,407.75 and 2,111.90 is: 3,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.97 : 9,407.75 = 2,111.90 : x
  2. Step 2: Convert to fraction form
    6,271.97/9,407.75 = 2,111.90/x
  3. Step 3: Cross multiply
    6,271.97x = 9,407.75 × 2,111.90
  4. Step 4: Simplify right side
    6,271.97x = 19,868,216.67
  5. Step 5: Solve for x
    x = 19,868,216.67/6,271.97
  6. Step 6: Final answer
    x = 3,167.78

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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.