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Finding the Fourth Proportional to 9,207.34, 12,706.38 and 5,228.20

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Solution

The fourth proportional to 9,207.34, 12,706.38 and 5,228.20 is: 7,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.34 : 12,706.38 = 5,228.20 : x
  2. Step 2: Convert to fraction form
    9,207.34/12,706.38 = 5,228.20/x
  3. Step 3: Cross multiply
    9,207.34x = 12,706.38 × 5,228.20
  4. Step 4: Simplify right side
    9,207.34x = 66,431,495.92
  5. Step 5: Solve for x
    x = 66,431,495.92/9,207.34
  6. Step 6: Final answer
    x = 7,215.06

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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.