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Finding the Fourth Proportional to 6,524.96, 9,782.64 and 4,187.61

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Solution

The fourth proportional to 6,524.96, 9,782.64 and 4,187.61 is: 6,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.96 : 9,782.64 = 4,187.61 : x
  2. Step 2: Convert to fraction form
    6,524.96/9,782.64 = 4,187.61/x
  3. Step 3: Cross multiply
    6,524.96x = 9,782.64 × 4,187.61
  4. Step 4: Simplify right side
    6,524.96x = 40,965,881.09
  5. Step 5: Solve for x
    x = 40,965,881.09/6,524.96
  6. Step 6: Final answer
    x = 6,278.34

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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.