Home / 9,257.84-13,887.70-3,413.08

Finding the Fourth Proportional to 9,257.84, 13,887.70 and 3,413.08

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Solution

The fourth proportional to 9,257.84, 13,887.70 and 3,413.08 is: 5,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.84 : 13,887.70 = 3,413.08 : x
  2. Step 2: Convert to fraction form
    9,257.84/13,887.70 = 3,413.08/x
  3. Step 3: Cross multiply
    9,257.84x = 13,887.70 × 3,413.08
  4. Step 4: Simplify right side
    9,257.84x = 47,399,831.12
  5. Step 5: Solve for x
    x = 47,399,831.12/9,257.84
  6. Step 6: Final answer
    x = 5,119.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.