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Finding the Fourth Proportional to 6,413.58, 9,618.55 and 4,070.05

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Solution

The fourth proportional to 6,413.58, 9,618.55 and 4,070.05 is: 6,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.58 : 9,618.55 = 4,070.05 : x
  2. Step 2: Convert to fraction form
    6,413.58/9,618.55 = 4,070.05/x
  3. Step 3: Cross multiply
    6,413.58x = 9,618.55 × 4,070.05
  4. Step 4: Simplify right side
    6,413.58x = 39,147,945.21
  5. Step 5: Solve for x
    x = 39,147,945.21/6,413.58
  6. Step 6: Final answer
    x = 6,103.91

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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.