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Finding the Fourth Proportional to 9,503, 14,256.70 and 3,347

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Solution

The fourth proportional to 9,503, 14,256.70 and 3,347 is: 5,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503 : 14,256.70 = 3,347 : x
  2. Step 2: Convert to fraction form
    9,503/14,256.70 = 3,347/x
  3. Step 3: Cross multiply
    9,503x = 14,256.70 × 3,347
  4. Step 4: Simplify right side
    9,503x = 47,717,174.90
  5. Step 5: Solve for x
    x = 47,717,174.90/9,503
  6. Step 6: Final answer
    x = 5,021.27

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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.