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Finding the Fourth Proportional to 6,212.66, 9,319.28 and 1,830.15

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Solution

The fourth proportional to 6,212.66, 9,319.28 and 1,830.15 is: 2,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.66 : 9,319.28 = 1,830.15 : x
  2. Step 2: Convert to fraction form
    6,212.66/9,319.28 = 1,830.15/x
  3. Step 3: Cross multiply
    6,212.66x = 9,319.28 × 1,830.15
  4. Step 4: Simplify right side
    6,212.66x = 17,055,671.14
  5. Step 5: Solve for x
    x = 17,055,671.14/6,212.66
  6. Step 6: Final answer
    x = 2,745.31

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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.