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Finding the Fourth Proportional to 9,297.47, 13,945.50 and 3,057.69

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Solution

The fourth proportional to 9,297.47, 13,945.50 and 3,057.69 is: 4,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.47 : 13,945.50 = 3,057.69 : x
  2. Step 2: Convert to fraction form
    9,297.47/13,945.50 = 3,057.69/x
  3. Step 3: Cross multiply
    9,297.47x = 13,945.50 × 3,057.69
  4. Step 4: Simplify right side
    9,297.47x = 42,641,015.90
  5. Step 5: Solve for x
    x = 42,641,015.90/9,297.47
  6. Step 6: Final answer
    x = 4,586.30

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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.