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Finding the Fourth Proportional to 9,917.97, 13,687.01 and 5,441.46

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Solution

The fourth proportional to 9,917.97, 13,687.01 and 5,441.46 is: 7,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.97 : 13,687.01 = 5,441.46 : x
  2. Step 2: Convert to fraction form
    9,917.97/13,687.01 = 5,441.46/x
  3. Step 3: Cross multiply
    9,917.97x = 13,687.01 × 5,441.46
  4. Step 4: Simplify right side
    9,917.97x = 74,477,290.23
  5. Step 5: Solve for x
    x = 74,477,290.23/9,917.97
  6. Step 6: Final answer
    x = 7,509.33

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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.