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Finding the Fourth Proportional to 9,574.39, 14,361.60 and 3,001.09

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Solution

The fourth proportional to 9,574.39, 14,361.60 and 3,001.09 is: 4,501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.39 : 14,361.60 = 3,001.09 : x
  2. Step 2: Convert to fraction form
    9,574.39/14,361.60 = 3,001.09/x
  3. Step 3: Cross multiply
    9,574.39x = 14,361.60 × 3,001.09
  4. Step 4: Simplify right side
    9,574.39x = 43,100,439.14
  5. Step 5: Solve for x
    x = 43,100,439.14/9,574.39
  6. Step 6: Final answer
    x = 4,501.64

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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.