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Finding the Fourth Proportional to 6,338.09, 8,746.31 and 3,505.28

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Solution

The fourth proportional to 6,338.09, 8,746.31 and 3,505.28 is: 4,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.09 : 8,746.31 = 3,505.28 : x
  2. Step 2: Convert to fraction form
    6,338.09/8,746.31 = 3,505.28/x
  3. Step 3: Cross multiply
    6,338.09x = 8,746.31 × 3,505.28
  4. Step 4: Simplify right side
    6,338.09x = 30,658,204.26
  5. Step 5: Solve for x
    x = 30,658,204.26/6,338.09
  6. Step 6: Final answer
    x = 4,837.14

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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.