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Finding the Fourth Proportional to 9,057.68, 12,499.44 and 5,078.78

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Solution

The fourth proportional to 9,057.68, 12,499.44 and 5,078.78 is: 7,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.68 : 12,499.44 = 5,078.78 : x
  2. Step 2: Convert to fraction form
    9,057.68/12,499.44 = 5,078.78/x
  3. Step 3: Cross multiply
    9,057.68x = 12,499.44 × 5,078.78
  4. Step 4: Simplify right side
    9,057.68x = 63,481,905.88
  5. Step 5: Solve for x
    x = 63,481,905.88/9,057.68
  6. Step 6: Final answer
    x = 7,008.63

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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.