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Finding the Fourth Proportional to 9,855.96, 14,783.78 and 2,460.33

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Solution

The fourth proportional to 9,855.96, 14,783.78 and 2,460.33 is: 3,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.96 : 14,783.78 = 2,460.33 : x
  2. Step 2: Convert to fraction form
    9,855.96/14,783.78 = 2,460.33/x
  3. Step 3: Cross multiply
    9,855.96x = 14,783.78 × 2,460.33
  4. Step 4: Simplify right side
    9,855.96x = 36,372,965.15
  5. Step 5: Solve for x
    x = 36,372,965.15/9,855.96
  6. Step 6: Final answer
    x = 3,690.45

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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.