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Finding the Fourth Proportional to 9,574.36, 14,361.54 and 3,001.06

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Solution

The fourth proportional to 9,574.36, 14,361.54 and 3,001.06 is: 4,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.36 : 14,361.54 = 3,001.06 : x
  2. Step 2: Convert to fraction form
    9,574.36/14,361.54 = 3,001.06/x
  3. Step 3: Cross multiply
    9,574.36x = 14,361.54 × 3,001.06
  4. Step 4: Simplify right side
    9,574.36x = 43,099,843.23
  5. Step 5: Solve for x
    x = 43,099,843.23/9,574.36
  6. Step 6: Final answer
    x = 4,501.59

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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.