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Finding the Fourth Proportional to 9,057.98, 12,499.29 and 5,078.22

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Solution

The fourth proportional to 9,057.98, 12,499.29 and 5,078.22 is: 7,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.98 : 12,499.29 = 5,078.22 : x
  2. Step 2: Convert to fraction form
    9,057.98/12,499.29 = 5,078.22/x
  3. Step 3: Cross multiply
    9,057.98x = 12,499.29 × 5,078.22
  4. Step 4: Simplify right side
    9,057.98x = 63,474,144.46
  5. Step 5: Solve for x
    x = 63,474,144.46/9,057.98
  6. Step 6: Final answer
    x = 7,007.54

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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.