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Finding the Fourth Proportional to 9,057.63, 12,497.18 and 5,228.34

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Solution

The fourth proportional to 9,057.63, 12,497.18 and 5,228.34 is: 7,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.63 : 12,497.18 = 5,228.34 : x
  2. Step 2: Convert to fraction form
    9,057.63/12,497.18 = 5,228.34/x
  3. Step 3: Cross multiply
    9,057.63x = 12,497.18 × 5,228.34
  4. Step 4: Simplify right side
    9,057.63x = 65,339,433.08
  5. Step 5: Solve for x
    x = 65,339,433.08/9,057.63
  6. Step 6: Final answer
    x = 7,213.74

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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.