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Finding the Fourth Proportional to 7,194.69, 9,923.31 and 7,085.34

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Solution

The fourth proportional to 7,194.69, 9,923.31 and 7,085.34 is: 9,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.69 : 9,923.31 = 7,085.34 : x
  2. Step 2: Convert to fraction form
    7,194.69/9,923.31 = 7,085.34/x
  3. Step 3: Cross multiply
    7,194.69x = 9,923.31 × 7,085.34
  4. Step 4: Simplify right side
    7,194.69x = 70,310,025.28
  5. Step 5: Solve for x
    x = 70,310,025.28/7,194.69
  6. Step 6: Final answer
    x = 9,772.49

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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.