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Finding the Fourth Proportional to 11,715.40, 16,170.90 and 9,641.80

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Solution

The fourth proportional to 11,715.40, 16,170.90 and 9,641.80 is: 13,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.40 : 16,170.90 = 9,641.80 : x
  2. Step 2: Convert to fraction form
    11,715.40/16,170.90 = 9,641.80/x
  3. Step 3: Cross multiply
    11,715.40x = 16,170.90 × 9,641.80
  4. Step 4: Simplify right side
    11,715.40x = 155,916,583.62
  5. Step 5: Solve for x
    x = 155,916,583.62/11,715.40
  6. Step 6: Final answer
    x = 13,308.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.