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Finding the Fourth Proportional to 6,213.40, 9,319.38 and 1,830.76

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Solution

The fourth proportional to 6,213.40, 9,319.38 and 1,830.76 is: 2,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.40 : 9,319.38 = 1,830.76 : x
  2. Step 2: Convert to fraction form
    6,213.40/9,319.38 = 1,830.76/x
  3. Step 3: Cross multiply
    6,213.40x = 9,319.38 × 1,830.76
  4. Step 4: Simplify right side
    6,213.40x = 17,061,548.13
  5. Step 5: Solve for x
    x = 17,061,548.13/6,213.40
  6. Step 6: Final answer
    x = 2,745.93

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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.