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Finding the Fourth Proportional to 9,392.78, 12,962.03 and 5,413.83

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Solution

The fourth proportional to 9,392.78, 12,962.03 and 5,413.83 is: 7,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.78 : 12,962.03 = 5,413.83 : x
  2. Step 2: Convert to fraction form
    9,392.78/12,962.03 = 5,413.83/x
  3. Step 3: Cross multiply
    9,392.78x = 12,962.03 × 5,413.83
  4. Step 4: Simplify right side
    9,392.78x = 70,174,199.81
  5. Step 5: Solve for x
    x = 70,174,199.81/9,392.78
  6. Step 6: Final answer
    x = 7,471.08

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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.