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Finding the Fourth Proportional to 6,249.51, 9,364.88 and 4,682.00

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Solution

The fourth proportional to 6,249.51, 9,364.88 and 4,682.00 is: 7,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.51 : 9,364.88 = 4,682.00 : x
  2. Step 2: Convert to fraction form
    6,249.51/9,364.88 = 4,682.00/x
  3. Step 3: Cross multiply
    6,249.51x = 9,364.88 × 4,682.00
  4. Step 4: Simplify right side
    6,249.51x = 43,846,403.28
  5. Step 5: Solve for x
    x = 43,846,403.28/6,249.51
  6. Step 6: Final answer
    x = 7,015.97

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