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Finding the Fourth Proportional to 9,189.40, 12,684.66 and 5,413.18

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Solution

The fourth proportional to 9,189.40, 12,684.66 and 5,413.18 is: 7,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.40 : 12,684.66 = 5,413.18 : x
  2. Step 2: Convert to fraction form
    9,189.40/12,684.66 = 5,413.18/x
  3. Step 3: Cross multiply
    9,189.40x = 12,684.66 × 5,413.18
  4. Step 4: Simplify right side
    9,189.40x = 68,664,347.82
  5. Step 5: Solve for x
    x = 68,664,347.82/9,189.40
  6. Step 6: Final answer
    x = 7,472.13

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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.