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Finding the Fourth Proportional to 9,057.70, 12,499.68 and 5,078.98

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Solution

The fourth proportional to 9,057.70, 12,499.68 and 5,078.98 is: 7,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.70 : 12,499.68 = 5,078.98 : x
  2. Step 2: Convert to fraction form
    9,057.70/12,499.68 = 5,078.98/x
  3. Step 3: Cross multiply
    9,057.70x = 12,499.68 × 5,078.98
  4. Step 4: Simplify right side
    9,057.70x = 63,485,624.73
  5. Step 5: Solve for x
    x = 63,485,624.73/9,057.70
  6. Step 6: Final answer
    x = 7,009.02

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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.