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Finding the Fourth Proportional to 9,339.16, 14,009.10 and 2,413.84

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Solution

The fourth proportional to 9,339.16, 14,009.10 and 2,413.84 is: 3,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.16 : 14,009.10 = 2,413.84 : x
  2. Step 2: Convert to fraction form
    9,339.16/14,009.10 = 2,413.84/x
  3. Step 3: Cross multiply
    9,339.16x = 14,009.10 × 2,413.84
  4. Step 4: Simplify right side
    9,339.16x = 33,815,725.94
  5. Step 5: Solve for x
    x = 33,815,725.94/9,339.16
  6. Step 6: Final answer
    x = 3,620.85

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1.5x scale

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.