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Finding the Fourth Proportional to 9,816.17, 13,546.54 and 5,340.17

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Solution

The fourth proportional to 9,816.17, 13,546.54 and 5,340.17 is: 7,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.17 : 13,546.54 = 5,340.17 : x
  2. Step 2: Convert to fraction form
    9,816.17/13,546.54 = 5,340.17/x
  3. Step 3: Cross multiply
    9,816.17x = 13,546.54 × 5,340.17
  4. Step 4: Simplify right side
    9,816.17x = 72,340,745.43
  5. Step 5: Solve for x
    x = 72,340,745.43/9,816.17
  6. Step 6: Final answer
    x = 7,369.55

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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.