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Finding the Fourth Proportional to 9,390.87, 12,962.03 and 5,413.57

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Solution

The fourth proportional to 9,390.87, 12,962.03 and 5,413.57 is: 7,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.87 : 12,962.03 = 5,413.57 : x
  2. Step 2: Convert to fraction form
    9,390.87/12,962.03 = 5,413.57/x
  3. Step 3: Cross multiply
    9,390.87x = 12,962.03 × 5,413.57
  4. Step 4: Simplify right side
    9,390.87x = 70,170,797.27
  5. Step 5: Solve for x
    x = 70,170,797.27/9,390.87
  6. Step 6: Final answer
    x = 7,472.24

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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.