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Finding the Fourth Proportional to 6,618.74, 9,131.24 and 4,262.24

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Solution

The fourth proportional to 6,618.74, 9,131.24 and 4,262.24 is: 5,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.74 : 9,131.24 = 4,262.24 : x
  2. Step 2: Convert to fraction form
    6,618.74/9,131.24 = 4,262.24/x
  3. Step 3: Cross multiply
    6,618.74x = 9,131.24 × 4,262.24
  4. Step 4: Simplify right side
    6,618.74x = 38,919,569.86
  5. Step 5: Solve for x
    x = 38,919,569.86/6,618.74
  6. Step 6: Final answer
    x = 5,880.21

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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.