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Finding the Fourth Proportional to 6,418.26, 8,829.45 and 5,236.74

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Solution

The fourth proportional to 6,418.26, 8,829.45 and 5,236.74 is: 7,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.26 : 8,829.45 = 5,236.74 : x
  2. Step 2: Convert to fraction form
    6,418.26/8,829.45 = 5,236.74/x
  3. Step 3: Cross multiply
    6,418.26x = 8,829.45 × 5,236.74
  4. Step 4: Simplify right side
    6,418.26x = 46,237,533.99
  5. Step 5: Solve for x
    x = 46,237,533.99/6,418.26
  6. Step 6: Final answer
    x = 7,204.06

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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.