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Finding the Fourth Proportional to 6,822.93, 9,417.36 and 4,172.61

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Solution

The fourth proportional to 6,822.93, 9,417.36 and 4,172.61 is: 5,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.93 : 9,417.36 = 4,172.61 : x
  2. Step 2: Convert to fraction form
    6,822.93/9,417.36 = 4,172.61/x
  3. Step 3: Cross multiply
    6,822.93x = 9,417.36 × 4,172.61
  4. Step 4: Simplify right side
    6,822.93x = 39,295,021.47
  5. Step 5: Solve for x
    x = 39,295,021.47/6,822.93
  6. Step 6: Final answer
    x = 5,759.26

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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.