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Finding the Fourth Proportional to 9,413.08, 12,989.10 and 5,435.46

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Solution

The fourth proportional to 9,413.08, 12,989.10 and 5,435.46 is: 7,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.08 : 12,989.10 = 5,435.46 : x
  2. Step 2: Convert to fraction form
    9,413.08/12,989.10 = 5,435.46/x
  3. Step 3: Cross multiply
    9,413.08x = 12,989.10 × 5,435.46
  4. Step 4: Simplify right side
    9,413.08x = 70,601,733.49
  5. Step 5: Solve for x
    x = 70,601,733.49/9,413.08
  6. Step 6: Final answer
    x = 7,500.39

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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.