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Finding the Fourth Proportional to 7,064.92, 9,749.70 and 4,081.36

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Solution

The fourth proportional to 7,064.92, 9,749.70 and 4,081.36 is: 5,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.92 : 9,749.70 = 4,081.36 : x
  2. Step 2: Convert to fraction form
    7,064.92/9,749.70 = 4,081.36/x
  3. Step 3: Cross multiply
    7,064.92x = 9,749.70 × 4,081.36
  4. Step 4: Simplify right side
    7,064.92x = 39,792,035.59
  5. Step 5: Solve for x
    x = 39,792,035.59/7,064.92
  6. Step 6: Final answer
    x = 5,632.34

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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.