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Finding the Fourth Proportional to 7,020.82, 9,690.83 and 4,190.17

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Solution

The fourth proportional to 7,020.82, 9,690.83 and 4,190.17 is: 5,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.82 : 9,690.83 = 4,190.17 : x
  2. Step 2: Convert to fraction form
    7,020.82/9,690.83 = 4,190.17/x
  3. Step 3: Cross multiply
    7,020.82x = 9,690.83 × 4,190.17
  4. Step 4: Simplify right side
    7,020.82x = 40,606,225.14
  5. Step 5: Solve for x
    x = 40,606,225.14/7,020.82
  6. Step 6: Final answer
    x = 5,783.69

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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.