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Finding the Fourth Proportional to 6,427.80, 9,633.18 and 3,307.68

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Solution

The fourth proportional to 6,427.80, 9,633.18 and 3,307.68 is: 4,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.80 : 9,633.18 = 3,307.68 : x
  2. Step 2: Convert to fraction form
    6,427.80/9,633.18 = 3,307.68/x
  3. Step 3: Cross multiply
    6,427.80x = 9,633.18 × 3,307.68
  4. Step 4: Simplify right side
    6,427.80x = 31,863,476.82
  5. Step 5: Solve for x
    x = 31,863,476.82/6,427.80
  6. Step 6: Final answer
    x = 4,957.14

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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.