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Finding the Fourth Proportional to 9,608.64, 14,413.44 and 4,062.24

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Solution

The fourth proportional to 9,608.64, 14,413.44 and 4,062.24 is: 6,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.64 : 14,413.44 = 4,062.24 : x
  2. Step 2: Convert to fraction form
    9,608.64/14,413.44 = 4,062.24/x
  3. Step 3: Cross multiply
    9,608.64x = 14,413.44 × 4,062.24
  4. Step 4: Simplify right side
    9,608.64x = 58,550,852.51
  5. Step 5: Solve for x
    x = 58,550,852.51/9,608.64
  6. Step 6: Final answer
    x = 6,093.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.