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Finding the Fourth Proportional to 6,705.70, 9,254.56 and 3,873.14

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Solution

The fourth proportional to 6,705.70, 9,254.56 and 3,873.14 is: 5,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.70 : 9,254.56 = 3,873.14 : x
  2. Step 2: Convert to fraction form
    6,705.70/9,254.56 = 3,873.14/x
  3. Step 3: Cross multiply
    6,705.70x = 9,254.56 × 3,873.14
  4. Step 4: Simplify right side
    6,705.70x = 35,844,206.52
  5. Step 5: Solve for x
    x = 35,844,206.52/6,705.70
  6. Step 6: Final answer
    x = 5,345.33

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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.