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Finding the Fourth Proportional to 8,935.84, 13,408.23 and 4,009

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Solution

The fourth proportional to 8,935.84, 13,408.23 and 4,009 is: 6,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935.84 : 13,408.23 = 4,009 : x
  2. Step 2: Convert to fraction form
    8,935.84/13,408.23 = 4,009/x
  3. Step 3: Cross multiply
    8,935.84x = 13,408.23 × 4,009
  4. Step 4: Simplify right side
    8,935.84x = 53,753,594.07
  5. Step 5: Solve for x
    x = 53,753,594.07/8,935.84
  6. Step 6: Final answer
    x = 6,015.51

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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.