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Finding the Fourth Proportional to 6,275.96, 9,413.66 and 2,765.03

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Solution

The fourth proportional to 6,275.96, 9,413.66 and 2,765.03 is: 4,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.96 : 9,413.66 = 2,765.03 : x
  2. Step 2: Convert to fraction form
    6,275.96/9,413.66 = 2,765.03/x
  3. Step 3: Cross multiply
    6,275.96x = 9,413.66 × 2,765.03
  4. Step 4: Simplify right side
    6,275.96x = 26,029,026.72
  5. Step 5: Solve for x
    x = 26,029,026.72/6,275.96
  6. Step 6: Final answer
    x = 4,147.42

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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.