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Finding the Fourth Proportional to 6,762.22, 9,331.81 and 3,696.06

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Solution

The fourth proportional to 6,762.22, 9,331.81 and 3,696.06 is: 5,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.22 : 9,331.81 = 3,696.06 : x
  2. Step 2: Convert to fraction form
    6,762.22/9,331.81 = 3,696.06/x
  3. Step 3: Cross multiply
    6,762.22x = 9,331.81 × 3,696.06
  4. Step 4: Simplify right side
    6,762.22x = 34,490,955.42
  5. Step 5: Solve for x
    x = 34,490,955.42/6,762.22
  6. Step 6: Final answer
    x = 5,100.54

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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.