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Finding the Fourth Proportional to 9,057.69, 13,570.81 and 4,900.57

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Solution

The fourth proportional to 9,057.69, 13,570.81 and 4,900.57 is: 7,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.69 : 13,570.81 = 4,900.57 : x
  2. Step 2: Convert to fraction form
    9,057.69/13,570.81 = 4,900.57/x
  3. Step 3: Cross multiply
    9,057.69x = 13,570.81 × 4,900.57
  4. Step 4: Simplify right side
    9,057.69x = 66,504,658.18
  5. Step 5: Solve for x
    x = 66,504,658.18/9,057.69
  6. Step 6: Final answer
    x = 7,342.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.