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Finding the Fourth Proportional to 9,862.73, 13,610.54 and 5,884.01

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Solution

The fourth proportional to 9,862.73, 13,610.54 and 5,884.01 is: 8,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.73 : 13,610.54 = 5,884.01 : x
  2. Step 2: Convert to fraction form
    9,862.73/13,610.54 = 5,884.01/x
  3. Step 3: Cross multiply
    9,862.73x = 13,610.54 × 5,884.01
  4. Step 4: Simplify right side
    9,862.73x = 80,084,524.05
  5. Step 5: Solve for x
    x = 80,084,524.05/9,862.73
  6. Step 6: Final answer
    x = 8,119.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.