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Finding the Fourth Proportional to 6,276.09, 9,413.64 and 3,152.91

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Solution

The fourth proportional to 6,276.09, 9,413.64 and 3,152.91 is: 4,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.09 : 9,413.64 = 3,152.91 : x
  2. Step 2: Convert to fraction form
    6,276.09/9,413.64 = 3,152.91/x
  3. Step 3: Cross multiply
    6,276.09x = 9,413.64 × 3,152.91
  4. Step 4: Simplify right side
    6,276.09x = 29,680,359.69
  5. Step 5: Solve for x
    x = 29,680,359.69/6,276.09
  6. Step 6: Final answer
    x = 4,729.12

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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.