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Finding the Fourth Proportional to 6,413.68, 9,627 and 4,566.88

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Solution

The fourth proportional to 6,413.68, 9,627 and 4,566.88 is: 6,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.68 : 9,627 = 4,566.88 : x
  2. Step 2: Convert to fraction form
    6,413.68/9,627 = 4,566.88/x
  3. Step 3: Cross multiply
    6,413.68x = 9,627 × 4,566.88
  4. Step 4: Simplify right side
    6,413.68x = 43,965,353.76
  5. Step 5: Solve for x
    x = 43,965,353.76/6,413.68
  6. Step 6: Final answer
    x = 6,854.93

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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.