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Finding the Fourth Proportional to 6,413.07, 9,622.92 and 4,852.60

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Solution

The fourth proportional to 6,413.07, 9,622.92 and 4,852.60 is: 7,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.07 : 9,622.92 = 4,852.60 : x
  2. Step 2: Convert to fraction form
    6,413.07/9,622.92 = 4,852.60/x
  3. Step 3: Cross multiply
    6,413.07x = 9,622.92 × 4,852.60
  4. Step 4: Simplify right side
    6,413.07x = 46,696,181.59
  5. Step 5: Solve for x
    x = 46,696,181.59/6,413.07
  6. Step 6: Final answer
    x = 7,281.41

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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.