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Finding the Fourth Proportional to 9,640.69, 14,476.73 and 5,966.33

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Solution

The fourth proportional to 9,640.69, 14,476.73 and 5,966.33 is: 8,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.69 : 14,476.73 = 5,966.33 : x
  2. Step 2: Convert to fraction form
    9,640.69/14,476.73 = 5,966.33/x
  3. Step 3: Cross multiply
    9,640.69x = 14,476.73 × 5,966.33
  4. Step 4: Simplify right side
    9,640.69x = 86,372,948.50
  5. Step 5: Solve for x
    x = 86,372,948.50/9,640.69
  6. Step 6: Final answer
    x = 8,959.21

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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.