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Finding the Fourth Proportional to 9,348.34, 14,024.94 and 3,505

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Solution

The fourth proportional to 9,348.34, 14,024.94 and 3,505 is: 5,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.34 : 14,024.94 = 3,505 : x
  2. Step 2: Convert to fraction form
    9,348.34/14,024.94 = 3,505/x
  3. Step 3: Cross multiply
    9,348.34x = 14,024.94 × 3,505
  4. Step 4: Simplify right side
    9,348.34x = 49,157,414.70
  5. Step 5: Solve for x
    x = 49,157,414.70/9,348.34
  6. Step 6: Final answer
    x = 5,258.41

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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.