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Finding the Fourth Proportional to 6,428.93, 9,641.70 and 2,729.25

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Solution

The fourth proportional to 6,428.93, 9,641.70 and 2,729.25 is: 4,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.93 : 9,641.70 = 2,729.25 : x
  2. Step 2: Convert to fraction form
    6,428.93/9,641.70 = 2,729.25/x
  3. Step 3: Cross multiply
    6,428.93x = 9,641.70 × 2,729.25
  4. Step 4: Simplify right side
    6,428.93x = 26,314,609.73
  5. Step 5: Solve for x
    x = 26,314,609.73/6,428.93
  6. Step 6: Final answer
    x = 4,093.16

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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.