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Finding the Fourth Proportional to 6,849.05, 9,451.64 and 3,705.17

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Solution

The fourth proportional to 6,849.05, 9,451.64 and 3,705.17 is: 5,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.05 : 9,451.64 = 3,705.17 : x
  2. Step 2: Convert to fraction form
    6,849.05/9,451.64 = 3,705.17/x
  3. Step 3: Cross multiply
    6,849.05x = 9,451.64 × 3,705.17
  4. Step 4: Simplify right side
    6,849.05x = 35,019,867.19
  5. Step 5: Solve for x
    x = 35,019,867.19/6,849.05
  6. Step 6: Final answer
    x = 5,113.10

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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.