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Finding the Fourth Proportional to 9,574.26, 13,213.71 and 5,383.32

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Solution

The fourth proportional to 9,574.26, 13,213.71 and 5,383.32 is: 7,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.26 : 13,213.71 = 5,383.32 : x
  2. Step 2: Convert to fraction form
    9,574.26/13,213.71 = 5,383.32/x
  3. Step 3: Cross multiply
    9,574.26x = 13,213.71 × 5,383.32
  4. Step 4: Simplify right side
    9,574.26x = 71,133,629.32
  5. Step 5: Solve for x
    x = 71,133,629.32/9,574.26
  6. Step 6: Final answer
    x = 7,429.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.