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Finding the Fourth Proportional to 9,413.30, 12,964.05 and 9,209.22

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Solution

The fourth proportional to 9,413.30, 12,964.05 and 9,209.22 is: 12,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.30 : 12,964.05 = 9,209.22 : x
  2. Step 2: Convert to fraction form
    9,413.30/12,964.05 = 9,209.22/x
  3. Step 3: Cross multiply
    9,413.30x = 12,964.05 × 9,209.22
  4. Step 4: Simplify right side
    9,413.30x = 119,388,788.54
  5. Step 5: Solve for x
    x = 119,388,788.54/9,413.30
  6. Step 6: Final answer
    x = 12,682.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.