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Finding the Fourth Proportional to 9,146, 12,624.36 and 5,834

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Solution

The fourth proportional to 9,146, 12,624.36 and 5,834 is: 8,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146 : 12,624.36 = 5,834 : x
  2. Step 2: Convert to fraction form
    9,146/12,624.36 = 5,834/x
  3. Step 3: Cross multiply
    9,146x = 12,624.36 × 5,834
  4. Step 4: Simplify right side
    9,146x = 73,650,516.24
  5. Step 5: Solve for x
    x = 73,650,516.24/9,146
  6. Step 6: Final answer
    x = 8,052.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.