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Finding the Fourth Proportional to 7,095.41, 9,790.97 and 4,112.24

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Solution

The fourth proportional to 7,095.41, 9,790.97 and 4,112.24 is: 5,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.41 : 9,790.97 = 4,112.24 : x
  2. Step 2: Convert to fraction form
    7,095.41/9,790.97 = 4,112.24/x
  3. Step 3: Cross multiply
    7,095.41x = 9,790.97 × 4,112.24
  4. Step 4: Simplify right side
    7,095.41x = 40,262,748.96
  5. Step 5: Solve for x
    x = 40,262,748.96/7,095.41
  6. Step 6: Final answer
    x = 5,674.48

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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.