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Finding the Fourth Proportional to 9,940.40, 14,905.76 and 5,781.60

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Solution

The fourth proportional to 9,940.40, 14,905.76 and 5,781.60 is: 8,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.40 : 14,905.76 = 5,781.60 : x
  2. Step 2: Convert to fraction form
    9,940.40/14,905.76 = 5,781.60/x
  3. Step 3: Cross multiply
    9,940.40x = 14,905.76 × 5,781.60
  4. Step 4: Simplify right side
    9,940.40x = 86,179,142.02
  5. Step 5: Solve for x
    x = 86,179,142.02/9,940.40
  6. Step 6: Final answer
    x = 8,669.58

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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.