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Finding the Fourth Proportional to 6,282.24, 9,413.64 and 4,173

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Solution

The fourth proportional to 6,282.24, 9,413.64 and 4,173 is: 6,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.24 : 9,413.64 = 4,173 : x
  2. Step 2: Convert to fraction form
    6,282.24/9,413.64 = 4,173/x
  3. Step 3: Cross multiply
    6,282.24x = 9,413.64 × 4,173
  4. Step 4: Simplify right side
    6,282.24x = 39,283,119.72
  5. Step 5: Solve for x
    x = 39,283,119.72/6,282.24
  6. Step 6: Final answer
    x = 6,253.04

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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.