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Finding the Fourth Proportional to 6,994.42, 9,652.16 and 3,807.61

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Solution

The fourth proportional to 6,994.42, 9,652.16 and 3,807.61 is: 5,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.42 : 9,652.16 = 3,807.61 : x
  2. Step 2: Convert to fraction form
    6,994.42/9,652.16 = 3,807.61/x
  3. Step 3: Cross multiply
    6,994.42x = 9,652.16 × 3,807.61
  4. Step 4: Simplify right side
    6,994.42x = 36,751,646.33
  5. Step 5: Solve for x
    x = 36,751,646.33/6,994.42
  6. Step 6: Final answer
    x = 5,254.43

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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.