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Finding the Fourth Proportional to 6,705.34, 9,253.79 and 3,873.24

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Solution

The fourth proportional to 6,705.34, 9,253.79 and 3,873.24 is: 5,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.34 : 9,253.79 = 3,873.24 : x
  2. Step 2: Convert to fraction form
    6,705.34/9,253.79 = 3,873.24/x
  3. Step 3: Cross multiply
    6,705.34x = 9,253.79 × 3,873.24
  4. Step 4: Simplify right side
    6,705.34x = 35,842,149.58
  5. Step 5: Solve for x
    x = 35,842,149.58/6,705.34
  6. Step 6: Final answer
    x = 5,345.31

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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.