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Finding the Fourth Proportional to 6,416.05, 9,606.70 and 3,331.57

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Solution

The fourth proportional to 6,416.05, 9,606.70 and 3,331.57 is: 4,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.05 : 9,606.70 = 3,331.57 : x
  2. Step 2: Convert to fraction form
    6,416.05/9,606.70 = 3,331.57/x
  3. Step 3: Cross multiply
    6,416.05x = 9,606.70 × 3,331.57
  4. Step 4: Simplify right side
    6,416.05x = 32,005,393.52
  5. Step 5: Solve for x
    x = 32,005,393.52/6,416.05
  6. Step 6: Final answer
    x = 4,988.33

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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.