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Finding the Fourth Proportional to 9,413.84, 12,989.40 and 5,435.12

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Solution

The fourth proportional to 9,413.84, 12,989.40 and 5,435.12 is: 7,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.84 : 12,989.40 = 5,435.12 : x
  2. Step 2: Convert to fraction form
    9,413.84/12,989.40 = 5,435.12/x
  3. Step 3: Cross multiply
    9,413.84x = 12,989.40 × 5,435.12
  4. Step 4: Simplify right side
    9,413.84x = 70,598,947.73
  5. Step 5: Solve for x
    x = 70,598,947.73/9,413.84
  6. Step 6: Final answer
    x = 7,499.48

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