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Finding the Fourth Proportional to 9,635.94, 13,297.50 and 6,102.05

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Solution

The fourth proportional to 9,635.94, 13,297.50 and 6,102.05 is: 8,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.94 : 13,297.50 = 6,102.05 : x
  2. Step 2: Convert to fraction form
    9,635.94/13,297.50 = 6,102.05/x
  3. Step 3: Cross multiply
    9,635.94x = 13,297.50 × 6,102.05
  4. Step 4: Simplify right side
    9,635.94x = 81,141,943.39
  5. Step 5: Solve for x
    x = 81,141,943.39/9,635.94
  6. Step 6: Final answer
    x = 8,420.76

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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.