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Finding the Fourth Proportional to 6,333.66, 9,497.22 and 3,706.29

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Solution

The fourth proportional to 6,333.66, 9,497.22 and 3,706.29 is: 5,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.66 : 9,497.22 = 3,706.29 : x
  2. Step 2: Convert to fraction form
    6,333.66/9,497.22 = 3,706.29/x
  3. Step 3: Cross multiply
    6,333.66x = 9,497.22 × 3,706.29
  4. Step 4: Simplify right side
    6,333.66x = 35,199,437.62
  5. Step 5: Solve for x
    x = 35,199,437.62/6,333.66
  6. Step 6: Final answer
    x = 5,557.52

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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.