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Finding the Fourth Proportional to 9,485.73, 14,231.04 and 3,642.81

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Solution

The fourth proportional to 9,485.73, 14,231.04 and 3,642.81 is: 5,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.73 : 14,231.04 = 3,642.81 : x
  2. Step 2: Convert to fraction form
    9,485.73/14,231.04 = 3,642.81/x
  3. Step 3: Cross multiply
    9,485.73x = 14,231.04 × 3,642.81
  4. Step 4: Simplify right side
    9,485.73x = 51,840,974.82
  5. Step 5: Solve for x
    x = 51,840,974.82/9,485.73
  6. Step 6: Final answer
    x = 5,465.15

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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.