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Finding the Fourth Proportional to 6,213.84, 9,317.54 and 1,830.72

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Solution

The fourth proportional to 6,213.84, 9,317.54 and 1,830.72 is: 2,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.84 : 9,317.54 = 1,830.72 : x
  2. Step 2: Convert to fraction form
    6,213.84/9,317.54 = 1,830.72/x
  3. Step 3: Cross multiply
    6,213.84x = 9,317.54 × 1,830.72
  4. Step 4: Simplify right side
    6,213.84x = 17,057,806.83
  5. Step 5: Solve for x
    x = 17,057,806.83/6,213.84
  6. Step 6: Final answer
    x = 2,745.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.