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Finding the Fourth Proportional to 7,085.29, 9,784.77 and 5,838.70

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Solution

The fourth proportional to 7,085.29, 9,784.77 and 5,838.70 is: 8,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.29 : 9,784.77 = 5,838.70 : x
  2. Step 2: Convert to fraction form
    7,085.29/9,784.77 = 5,838.70/x
  3. Step 3: Cross multiply
    7,085.29x = 9,784.77 × 5,838.70
  4. Step 4: Simplify right side
    7,085.29x = 57,130,336.60
  5. Step 5: Solve for x
    x = 57,130,336.60/7,085.29
  6. Step 6: Final answer
    x = 8,063.23

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