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Finding the Fourth Proportional to 9,392.51, 12,961.47 and 5,413.38

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Solution

The fourth proportional to 9,392.51, 12,961.47 and 5,413.38 is: 7,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.51 : 12,961.47 = 5,413.38 : x
  2. Step 2: Convert to fraction form
    9,392.51/12,961.47 = 5,413.38/x
  3. Step 3: Cross multiply
    9,392.51x = 12,961.47 × 5,413.38
  4. Step 4: Simplify right side
    9,392.51x = 70,165,362.47
  5. Step 5: Solve for x
    x = 70,165,362.47/9,392.51
  6. Step 6: Final answer
    x = 7,470.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.