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Finding the Fourth Proportional to 6,274.47, 9,413.14 and 2,114.38

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Solution

The fourth proportional to 6,274.47, 9,413.14 and 2,114.38 is: 3,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.47 : 9,413.14 = 2,114.38 : x
  2. Step 2: Convert to fraction form
    6,274.47/9,413.14 = 2,114.38/x
  3. Step 3: Cross multiply
    6,274.47x = 9,413.14 × 2,114.38
  4. Step 4: Simplify right side
    6,274.47x = 19,902,954.95
  5. Step 5: Solve for x
    x = 19,902,954.95/6,274.47
  6. Step 6: Final answer
    x = 3,172.05

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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.