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Finding the Fourth Proportional to 9,413.76, 12,995.46 and 5,882.16

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Solution

The fourth proportional to 9,413.76, 12,995.46 and 5,882.16 is: 8,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.76 : 12,995.46 = 5,882.16 : x
  2. Step 2: Convert to fraction form
    9,413.76/12,995.46 = 5,882.16/x
  3. Step 3: Cross multiply
    9,413.76x = 12,995.46 × 5,882.16
  4. Step 4: Simplify right side
    9,413.76x = 76,441,374.99
  5. Step 5: Solve for x
    x = 76,441,374.99/9,413.76
  6. Step 6: Final answer
    x = 8,120.17

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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.