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Finding the Fourth Proportional to 9,619.29, 13,273.74 and 5,639.67

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Solution

The fourth proportional to 9,619.29, 13,273.74 and 5,639.67 is: 7,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.29 : 13,273.74 = 5,639.67 : x
  2. Step 2: Convert to fraction form
    9,619.29/13,273.74 = 5,639.67/x
  3. Step 3: Cross multiply
    9,619.29x = 13,273.74 × 5,639.67
  4. Step 4: Simplify right side
    9,619.29x = 74,859,513.27
  5. Step 5: Solve for x
    x = 74,859,513.27/9,619.29
  6. Step 6: Final answer
    x = 7,782.23

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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.