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Finding the Fourth Proportional to 9,873.05, 14,809.67 and 2,477.54

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Solution

The fourth proportional to 9,873.05, 14,809.67 and 2,477.54 is: 3,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.05 : 14,809.67 = 2,477.54 : x
  2. Step 2: Convert to fraction form
    9,873.05/14,809.67 = 2,477.54/x
  3. Step 3: Cross multiply
    9,873.05x = 14,809.67 × 2,477.54
  4. Step 4: Simplify right side
    9,873.05x = 36,691,463.38
  5. Step 5: Solve for x
    x = 36,691,463.38/9,873.05
  6. Step 6: Final answer
    x = 3,716.33

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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.