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Finding the Fourth Proportional to 6,731.93, 9,290.06 and 3,899.46

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Solution

The fourth proportional to 6,731.93, 9,290.06 and 3,899.46 is: 5,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.93 : 9,290.06 = 3,899.46 : x
  2. Step 2: Convert to fraction form
    6,731.93/9,290.06 = 3,899.46/x
  3. Step 3: Cross multiply
    6,731.93x = 9,290.06 × 3,899.46
  4. Step 4: Simplify right side
    6,731.93x = 36,226,261.95
  5. Step 5: Solve for x
    x = 36,226,261.95/6,731.93
  6. Step 6: Final answer
    x = 5,381.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.