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Finding the Fourth Proportional to 7,022.38, 9,690.93 and 3,835.59

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Solution

The fourth proportional to 7,022.38, 9,690.93 and 3,835.59 is: 5,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.38 : 9,690.93 = 3,835.59 : x
  2. Step 2: Convert to fraction form
    7,022.38/9,690.93 = 3,835.59/x
  3. Step 3: Cross multiply
    7,022.38x = 9,690.93 × 3,835.59
  4. Step 4: Simplify right side
    7,022.38x = 37,170,415.02
  5. Step 5: Solve for x
    x = 37,170,415.02/7,022.38
  6. Step 6: Final answer
    x = 5,293.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.