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Finding the Fourth Proportional to 7,202.74, 9,941.82 and 4,370.98

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Solution

The fourth proportional to 7,202.74, 9,941.82 and 4,370.98 is: 6,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.74 : 9,941.82 = 4,370.98 : x
  2. Step 2: Convert to fraction form
    7,202.74/9,941.82 = 4,370.98/x
  3. Step 3: Cross multiply
    7,202.74x = 9,941.82 × 4,370.98
  4. Step 4: Simplify right side
    7,202.74x = 43,455,496.38
  5. Step 5: Solve for x
    x = 43,455,496.38/7,202.74
  6. Step 6: Final answer
    x = 6,033.19

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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.