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Finding the Fourth Proportional to 6,804.22, 10,146.44 and 6,265.66

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Solution

The fourth proportional to 6,804.22, 10,146.44 and 6,265.66 is: 9,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.22 : 10,146.44 = 6,265.66 : x
  2. Step 2: Convert to fraction form
    6,804.22/10,146.44 = 6,265.66/x
  3. Step 3: Cross multiply
    6,804.22x = 10,146.44 × 6,265.66
  4. Step 4: Simplify right side
    6,804.22x = 63,574,143.25
  5. Step 5: Solve for x
    x = 63,574,143.25/6,804.22
  6. Step 6: Final answer
    x = 9,343.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.