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Finding the Fourth Proportional to 9,778.32, 14,669.30 and 3,935.39

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Solution

The fourth proportional to 9,778.32, 14,669.30 and 3,935.39 is: 5,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.32 : 14,669.30 = 3,935.39 : x
  2. Step 2: Convert to fraction form
    9,778.32/14,669.30 = 3,935.39/x
  3. Step 3: Cross multiply
    9,778.32x = 14,669.30 × 3,935.39
  4. Step 4: Simplify right side
    9,778.32x = 57,729,353.02
  5. Step 5: Solve for x
    x = 57,729,353.02/9,778.32
  6. Step 6: Final answer
    x = 5,903.81

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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.