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Finding the Fourth Proportional to 6,333.58, 9,500.10 and 6,185.26

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Solution

The fourth proportional to 6,333.58, 9,500.10 and 6,185.26 is: 9,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.58 : 9,500.10 = 6,185.26 : x
  2. Step 2: Convert to fraction form
    6,333.58/9,500.10 = 6,185.26/x
  3. Step 3: Cross multiply
    6,333.58x = 9,500.10 × 6,185.26
  4. Step 4: Simplify right side
    6,333.58x = 58,760,588.53
  5. Step 5: Solve for x
    x = 58,760,588.53/6,333.58
  6. Step 6: Final answer
    x = 9,277.63

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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.