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Finding the Fourth Proportional to 6,413.90, 9,622.20 and 2,714.24

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Solution

The fourth proportional to 6,413.90, 9,622.20 and 2,714.24 is: 4,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.90 : 9,622.20 = 2,714.24 : x
  2. Step 2: Convert to fraction form
    6,413.90/9,622.20 = 2,714.24/x
  3. Step 3: Cross multiply
    6,413.90x = 9,622.20 × 2,714.24
  4. Step 4: Simplify right side
    6,413.90x = 26,116,960.13
  5. Step 5: Solve for x
    x = 26,116,960.13/6,413.90
  6. Step 6: Final answer
    x = 4,071.93

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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.