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Finding the Fourth Proportional to 6,816.66, 9,407.25 and 4,165.26

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Solution

The fourth proportional to 6,816.66, 9,407.25 and 4,165.26 is: 5,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.66 : 9,407.25 = 4,165.26 : x
  2. Step 2: Convert to fraction form
    6,816.66/9,407.25 = 4,165.26/x
  3. Step 3: Cross multiply
    6,816.66x = 9,407.25 × 4,165.26
  4. Step 4: Simplify right side
    6,816.66x = 39,183,642.14
  5. Step 5: Solve for x
    x = 39,183,642.14/6,816.66
  6. Step 6: Final answer
    x = 5,748.22

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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.