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Finding the Fourth Proportional to 6,949.42, 9,590.20 and 3,762.74

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Solution

The fourth proportional to 6,949.42, 9,590.20 and 3,762.74 is: 5,192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.42 : 9,590.20 = 3,762.74 : x
  2. Step 2: Convert to fraction form
    6,949.42/9,590.20 = 3,762.74/x
  3. Step 3: Cross multiply
    6,949.42x = 9,590.20 × 3,762.74
  4. Step 4: Simplify right side
    6,949.42x = 36,085,429.15
  5. Step 5: Solve for x
    x = 36,085,429.15/6,949.42
  6. Step 6: Final answer
    x = 5,192.58

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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.