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Finding the Fourth Proportional to 9,057.97, 13,583.64 and 3,133.36

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Solution

The fourth proportional to 9,057.97, 13,583.64 and 3,133.36 is: 4,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.97 : 13,583.64 = 3,133.36 : x
  2. Step 2: Convert to fraction form
    9,057.97/13,583.64 = 3,133.36/x
  3. Step 3: Cross multiply
    9,057.97x = 13,583.64 × 3,133.36
  4. Step 4: Simplify right side
    9,057.97x = 42,562,434.23
  5. Step 5: Solve for x
    x = 42,562,434.23/9,057.97
  6. Step 6: Final answer
    x = 4,698.89

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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.