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Finding the Fourth Proportional to 9,607.73, 14,413.34 and 4,677.37

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Solution

The fourth proportional to 9,607.73, 14,413.34 and 4,677.37 is: 7,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.73 : 14,413.34 = 4,677.37 : x
  2. Step 2: Convert to fraction form
    9,607.73/14,413.34 = 4,677.37/x
  3. Step 3: Cross multiply
    9,607.73x = 14,413.34 × 4,677.37
  4. Step 4: Simplify right side
    9,607.73x = 67,416,524.12
  5. Step 5: Solve for x
    x = 67,416,524.12/9,607.73
  6. Step 6: Final answer
    x = 7,016.90

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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.