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Finding the Fourth Proportional to 8,919.60, 13,408.20 and 8,228.40

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Solution

The fourth proportional to 8,919.60, 13,408.20 and 8,228.40 is: 12,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.60 : 13,408.20 = 8,228.40 : x
  2. Step 2: Convert to fraction form
    8,919.60/13,408.20 = 8,228.40/x
  3. Step 3: Cross multiply
    8,919.60x = 13,408.20 × 8,228.40
  4. Step 4: Simplify right side
    8,919.60x = 110,328,032.88
  5. Step 5: Solve for x
    x = 110,328,032.88/8,919.60
  6. Step 6: Final answer
    x = 12,369.17

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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.