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Finding the Fourth Proportional to 9,523.32, 14,267.70 and 7,467

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Solution

The fourth proportional to 9,523.32, 14,267.70 and 7,467 is: 11,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.32 : 14,267.70 = 7,467 : x
  2. Step 2: Convert to fraction form
    9,523.32/14,267.70 = 7,467/x
  3. Step 3: Cross multiply
    9,523.32x = 14,267.70 × 7,467
  4. Step 4: Simplify right side
    9,523.32x = 106,536,915.90
  5. Step 5: Solve for x
    x = 106,536,915.90/9,523.32
  6. Step 6: Final answer
    x = 11,186.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.