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Finding the Fourth Proportional to 9,867.40, 13,617.95 and 5,391.82

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Solution

The fourth proportional to 9,867.40, 13,617.95 and 5,391.82 is: 7,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.40 : 13,617.95 = 5,391.82 : x
  2. Step 2: Convert to fraction form
    9,867.40/13,617.95 = 5,391.82/x
  3. Step 3: Cross multiply
    9,867.40x = 13,617.95 × 5,391.82
  4. Step 4: Simplify right side
    9,867.40x = 73,425,525.23
  5. Step 5: Solve for x
    x = 73,425,525.23/9,867.40
  6. Step 6: Final answer
    x = 7,441.23

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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.