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Finding the Fourth Proportional to 6,413.93, 9,621.86 and 2,029.93

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Solution

The fourth proportional to 6,413.93, 9,621.86 and 2,029.93 is: 3,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.93 : 9,621.86 = 2,029.93 : x
  2. Step 2: Convert to fraction form
    6,413.93/9,621.86 = 2,029.93/x
  3. Step 3: Cross multiply
    6,413.93x = 9,621.86 × 2,029.93
  4. Step 4: Simplify right side
    6,413.93x = 19,531,702.27
  5. Step 5: Solve for x
    x = 19,531,702.27/6,413.93
  6. Step 6: Final answer
    x = 3,045.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.