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Finding the Fourth Proportional to 6,847.02, 9,448.83 and 3,703.17

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Solution

The fourth proportional to 6,847.02, 9,448.83 and 3,703.17 is: 5,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.02 : 9,448.83 = 3,703.17 : x
  2. Step 2: Convert to fraction form
    6,847.02/9,448.83 = 3,703.17/x
  3. Step 3: Cross multiply
    6,847.02x = 9,448.83 × 3,703.17
  4. Step 4: Simplify right side
    6,847.02x = 34,990,623.79
  5. Step 5: Solve for x
    x = 34,990,623.79/6,847.02
  6. Step 6: Final answer
    x = 5,110.34

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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.