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Finding the Fourth Proportional to 9,546.16, 13,165.08 and 6,185.56

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Solution

The fourth proportional to 9,546.16, 13,165.08 and 6,185.56 is: 8,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.16 : 13,165.08 = 6,185.56 : x
  2. Step 2: Convert to fraction form
    9,546.16/13,165.08 = 6,185.56/x
  3. Step 3: Cross multiply
    9,546.16x = 13,165.08 × 6,185.56
  4. Step 4: Simplify right side
    9,546.16x = 81,433,392.24
  5. Step 5: Solve for x
    x = 81,433,392.24/9,546.16
  6. Step 6: Final answer
    x = 8,530.49

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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.