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Finding the Fourth Proportional to 9,413.64, 12,992.94 and 5,436

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Solution

The fourth proportional to 9,413.64, 12,992.94 and 5,436 is: 7,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.64 : 12,992.94 = 5,436 : x
  2. Step 2: Convert to fraction form
    9,413.64/12,992.94 = 5,436/x
  3. Step 3: Cross multiply
    9,413.64x = 12,992.94 × 5,436
  4. Step 4: Simplify right side
    9,413.64x = 70,629,621.84
  5. Step 5: Solve for x
    x = 70,629,621.84/9,413.64
  6. Step 6: Final answer
    x = 7,502.90

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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.