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Finding the Fourth Proportional to 9,393.47, 12,964.51 and 5,413.89

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Solution

The fourth proportional to 9,393.47, 12,964.51 and 5,413.89 is: 7,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.47 : 12,964.51 = 5,413.89 : x
  2. Step 2: Convert to fraction form
    9,393.47/12,964.51 = 5,413.89/x
  3. Step 3: Cross multiply
    9,393.47x = 12,964.51 × 5,413.89
  4. Step 4: Simplify right side
    9,393.47x = 70,188,383.05
  5. Step 5: Solve for x
    x = 70,188,383.05/9,393.47
  6. Step 6: Final answer
    x = 7,472.04

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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.