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Finding the Fourth Proportional to 6,185.39, 9,282.65 and 4,546.35

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Solution

The fourth proportional to 6,185.39, 9,282.65 and 4,546.35 is: 6,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.39 : 9,282.65 = 4,546.35 : x
  2. Step 2: Convert to fraction form
    6,185.39/9,282.65 = 4,546.35/x
  3. Step 3: Cross multiply
    6,185.39x = 9,282.65 × 4,546.35
  4. Step 4: Simplify right side
    6,185.39x = 42,202,153.10
  5. Step 5: Solve for x
    x = 42,202,153.10/6,185.39
  6. Step 6: Final answer
    x = 6,822.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.