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Finding the Fourth Proportional to 9,057.69, 13,586.94 and 3,215.16

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Solution

The fourth proportional to 9,057.69, 13,586.94 and 3,215.16 is: 4,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.69 : 13,586.94 = 3,215.16 : x
  2. Step 2: Convert to fraction form
    9,057.69/13,586.94 = 3,215.16/x
  3. Step 3: Cross multiply
    9,057.69x = 13,586.94 × 3,215.16
  4. Step 4: Simplify right side
    9,057.69x = 43,684,186.01
  5. Step 5: Solve for x
    x = 43,684,186.01/9,057.69
  6. Step 6: Final answer
    x = 4,822.88

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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.