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Finding the Fourth Proportional to 9,390.89, 12,962.69 and 5,413.59

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Solution

The fourth proportional to 9,390.89, 12,962.69 and 5,413.59 is: 7,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.89 : 12,962.69 = 5,413.59 : x
  2. Step 2: Convert to fraction form
    9,390.89/12,962.69 = 5,413.59/x
  3. Step 3: Cross multiply
    9,390.89x = 12,962.69 × 5,413.59
  4. Step 4: Simplify right side
    9,390.89x = 70,174,661.89
  5. Step 5: Solve for x
    x = 70,174,661.89/9,390.89
  6. Step 6: Final answer
    x = 7,472.64

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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.