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Finding the Fourth Proportional to 9,917.21, 13,686.05 and 5,441.24

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Solution

The fourth proportional to 9,917.21, 13,686.05 and 5,441.24 is: 7,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.21 : 13,686.05 = 5,441.24 : x
  2. Step 2: Convert to fraction form
    9,917.21/13,686.05 = 5,441.24/x
  3. Step 3: Cross multiply
    9,917.21x = 13,686.05 × 5,441.24
  4. Step 4: Simplify right side
    9,917.21x = 74,469,082.70
  5. Step 5: Solve for x
    x = 74,469,082.70/9,917.21
  6. Step 6: Final answer
    x = 7,509.08

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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.