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Finding the Fourth Proportional to 9,851.85, 14,773.40 and 3,610.23

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Solution

The fourth proportional to 9,851.85, 14,773.40 and 3,610.23 is: 5,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.85 : 14,773.40 = 3,610.23 : x
  2. Step 2: Convert to fraction form
    9,851.85/14,773.40 = 3,610.23/x
  3. Step 3: Cross multiply
    9,851.85x = 14,773.40 × 3,610.23
  4. Step 4: Simplify right side
    9,851.85x = 53,335,371.88
  5. Step 5: Solve for x
    x = 53,335,371.88/9,851.85
  6. Step 6: Final answer
    x = 5,413.74

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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.