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Finding the Fourth Proportional to 6,225.66, 9,338.52 and 1,608.66

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Solution

The fourth proportional to 6,225.66, 9,338.52 and 1,608.66 is: 2,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.66 : 9,338.52 = 1,608.66 : x
  2. Step 2: Convert to fraction form
    6,225.66/9,338.52 = 1,608.66/x
  3. Step 3: Cross multiply
    6,225.66x = 9,338.52 × 1,608.66
  4. Step 4: Simplify right side
    6,225.66x = 15,022,503.58
  5. Step 5: Solve for x
    x = 15,022,503.58/6,225.66
  6. Step 6: Final answer
    x = 2,413.00

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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.