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Finding the Fourth Proportional to 9,890.19, 13,648.53 and 5,413.98

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Solution

The fourth proportional to 9,890.19, 13,648.53 and 5,413.98 is: 7,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.19 : 13,648.53 = 5,413.98 : x
  2. Step 2: Convert to fraction form
    9,890.19/13,648.53 = 5,413.98/x
  3. Step 3: Cross multiply
    9,890.19x = 13,648.53 × 5,413.98
  4. Step 4: Simplify right side
    9,890.19x = 73,892,800.21
  5. Step 5: Solve for x
    x = 73,892,800.21/9,890.19
  6. Step 6: Final answer
    x = 7,471.33

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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.