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Finding the Fourth Proportional to 9,413.77, 14,118.28 and 3,868.65

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Solution

The fourth proportional to 9,413.77, 14,118.28 and 3,868.65 is: 5,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.77 : 14,118.28 = 3,868.65 : x
  2. Step 2: Convert to fraction form
    9,413.77/14,118.28 = 3,868.65/x
  3. Step 3: Cross multiply
    9,413.77x = 14,118.28 × 3,868.65
  4. Step 4: Simplify right side
    9,413.77x = 54,618,613.33
  5. Step 5: Solve for x
    x = 54,618,613.33/9,413.77
  6. Step 6: Final answer
    x = 5,801.99

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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.