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Finding the Fourth Proportional to 9,851.51, 14,774.31 and 3,610.05

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Solution

The fourth proportional to 9,851.51, 14,774.31 and 3,610.05 is: 5,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.51 : 14,774.31 = 3,610.05 : x
  2. Step 2: Convert to fraction form
    9,851.51/14,774.31 = 3,610.05/x
  3. Step 3: Cross multiply
    9,851.51x = 14,774.31 × 3,610.05
  4. Step 4: Simplify right side
    9,851.51x = 53,335,997.82
  5. Step 5: Solve for x
    x = 53,335,997.82/9,851.51
  6. Step 6: Final answer
    x = 5,413.99

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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.