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Finding the Fourth Proportional to 9,385.44, 12,954.24 and 5,852.76

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Solution

The fourth proportional to 9,385.44, 12,954.24 and 5,852.76 is: 8,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.44 : 12,954.24 = 5,852.76 : x
  2. Step 2: Convert to fraction form
    9,385.44/12,954.24 = 5,852.76/x
  3. Step 3: Cross multiply
    9,385.44x = 12,954.24 × 5,852.76
  4. Step 4: Simplify right side
    9,385.44x = 75,818,057.70
  5. Step 5: Solve for x
    x = 75,818,057.70/9,385.44
  6. Step 6: Final answer
    x = 8,078.26

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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.