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Finding the Fourth Proportional to 9,413.66, 14,122.03 and 3,865.52

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Solution

The fourth proportional to 9,413.66, 14,122.03 and 3,865.52 is: 5,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.66 : 14,122.03 = 3,865.52 : x
  2. Step 2: Convert to fraction form
    9,413.66/14,122.03 = 3,865.52/x
  3. Step 3: Cross multiply
    9,413.66x = 14,122.03 × 3,865.52
  4. Step 4: Simplify right side
    9,413.66x = 54,588,989.41
  5. Step 5: Solve for x
    x = 54,588,989.41/9,413.66
  6. Step 6: Final answer
    x = 5,798.91

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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.