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Finding the Fourth Proportional to 9,722.40, 13,413.55 and 5,472.78

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Solution

The fourth proportional to 9,722.40, 13,413.55 and 5,472.78 is: 7,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.40 : 13,413.55 = 5,472.78 : x
  2. Step 2: Convert to fraction form
    9,722.40/13,413.55 = 5,472.78/x
  3. Step 3: Cross multiply
    9,722.40x = 13,413.55 × 5,472.78
  4. Step 4: Simplify right side
    9,722.40x = 73,409,408.17
  5. Step 5: Solve for x
    x = 73,409,408.17/9,722.40
  6. Step 6: Final answer
    x = 7,550.54

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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.