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Finding the Fourth Proportional to 6,245.88, 9,356.86 and 4,677.88

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Solution

The fourth proportional to 6,245.88, 9,356.86 and 4,677.88 is: 7,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.88 : 9,356.86 = 4,677.88 : x
  2. Step 2: Convert to fraction form
    6,245.88/9,356.86 = 4,677.88/x
  3. Step 3: Cross multiply
    6,245.88x = 9,356.86 × 4,677.88
  4. Step 4: Simplify right side
    6,245.88x = 43,770,268.26
  5. Step 5: Solve for x
    x = 43,770,268.26/6,245.88
  6. Step 6: Final answer
    x = 7,007.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.