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Finding the Fourth Proportional to 6,705.98, 9,253.73 and 3,872.06

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Solution

The fourth proportional to 6,705.98, 9,253.73 and 3,872.06 is: 5,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.98 : 9,253.73 = 3,872.06 : x
  2. Step 2: Convert to fraction form
    6,705.98/9,253.73 = 3,872.06/x
  3. Step 3: Cross multiply
    6,705.98x = 9,253.73 × 3,872.06
  4. Step 4: Simplify right side
    6,705.98x = 35,830,961.20
  5. Step 5: Solve for x
    x = 35,830,961.20/6,705.98
  6. Step 6: Final answer
    x = 5,343.14

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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.