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Finding the Fourth Proportional to 9,905.40, 13,671.60 and 5,925

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Solution

The fourth proportional to 9,905.40, 13,671.60 and 5,925 is: 8,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.40 : 13,671.60 = 5,925 : x
  2. Step 2: Convert to fraction form
    9,905.40/13,671.60 = 5,925/x
  3. Step 3: Cross multiply
    9,905.40x = 13,671.60 × 5,925
  4. Step 4: Simplify right side
    9,905.40x = 81,004,230
  5. Step 5: Solve for x
    x = 81,004,230/9,905.40
  6. Step 6: Final answer
    x = 8,177.78

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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.