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Finding the Fourth Proportional to 9,147, 12,624.69 and 5,168.16

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Solution

The fourth proportional to 9,147, 12,624.69 and 5,168.16 is: 7,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147 : 12,624.69 = 5,168.16 : x
  2. Step 2: Convert to fraction form
    9,147/12,624.69 = 5,168.16/x
  3. Step 3: Cross multiply
    9,147x = 12,624.69 × 5,168.16
  4. Step 4: Simplify right side
    9,147x = 65,246,417.87
  5. Step 5: Solve for x
    x = 65,246,417.87/9,147
  6. Step 6: Final answer
    x = 7,133.09

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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.