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Finding the Fourth Proportional to 6,816.02, 9,379.14 and 5,693.36

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Solution

The fourth proportional to 6,816.02, 9,379.14 and 5,693.36 is: 7,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.02 : 9,379.14 = 5,693.36 : x
  2. Step 2: Convert to fraction form
    6,816.02/9,379.14 = 5,693.36/x
  3. Step 3: Cross multiply
    6,816.02x = 9,379.14 × 5,693.36
  4. Step 4: Simplify right side
    6,816.02x = 53,398,820.51
  5. Step 5: Solve for x
    x = 53,398,820.51/6,816.02
  6. Step 6: Final answer
    x = 7,834.31

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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.