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Finding the Fourth Proportional to 6,837.26, 9,430.05 and 4,949.12

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Solution

The fourth proportional to 6,837.26, 9,430.05 and 4,949.12 is: 6,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.26 : 9,430.05 = 4,949.12 : x
  2. Step 2: Convert to fraction form
    6,837.26/9,430.05 = 4,949.12/x
  3. Step 3: Cross multiply
    6,837.26x = 9,430.05 × 4,949.12
  4. Step 4: Simplify right side
    6,837.26x = 46,670,449.06
  5. Step 5: Solve for x
    x = 46,670,449.06/6,837.26
  6. Step 6: Final answer
    x = 6,825.90

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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.