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Finding the Fourth Proportional to 6,413.98, 9,622.45 and 2,031.44

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Solution

The fourth proportional to 6,413.98, 9,622.45 and 2,031.44 is: 3,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.98 : 9,622.45 = 2,031.44 : x
  2. Step 2: Convert to fraction form
    6,413.98/9,622.45 = 2,031.44/x
  3. Step 3: Cross multiply
    6,413.98x = 9,622.45 × 2,031.44
  4. Step 4: Simplify right side
    6,413.98x = 19,547,429.83
  5. Step 5: Solve for x
    x = 19,547,429.83/6,413.98
  6. Step 6: Final answer
    x = 3,047.63

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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.