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Finding the Fourth Proportional to 9,855.12, 14,793.60 and 4,015.80

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Solution

The fourth proportional to 9,855.12, 14,793.60 and 4,015.80 is: 6,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.12 : 14,793.60 = 4,015.80 : x
  2. Step 2: Convert to fraction form
    9,855.12/14,793.60 = 4,015.80/x
  3. Step 3: Cross multiply
    9,855.12x = 14,793.60 × 4,015.80
  4. Step 4: Simplify right side
    9,855.12x = 59,408,138.88
  5. Step 5: Solve for x
    x = 59,408,138.88/9,855.12
  6. Step 6: Final answer
    x = 6,028.15

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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.