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Finding the Fourth Proportional to 6,275.27, 9,413.62 and 4,734.65

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Solution

The fourth proportional to 6,275.27, 9,413.62 and 4,734.65 is: 7,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.27 : 9,413.62 = 4,734.65 : x
  2. Step 2: Convert to fraction form
    6,275.27/9,413.62 = 4,734.65/x
  3. Step 3: Cross multiply
    6,275.27x = 9,413.62 × 4,734.65
  4. Step 4: Simplify right side
    6,275.27x = 44,570,207.63
  5. Step 5: Solve for x
    x = 44,570,207.63/6,275.27
  6. Step 6: Final answer
    x = 7,102.51

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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.