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Finding the Fourth Proportional to 9,795, 13,517.10 and 5,379

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Solution

The fourth proportional to 9,795, 13,517.10 and 5,379 is: 7,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795 : 13,517.10 = 5,379 : x
  2. Step 2: Convert to fraction form
    9,795/13,517.10 = 5,379/x
  3. Step 3: Cross multiply
    9,795x = 13,517.10 × 5,379
  4. Step 4: Simplify right side
    9,795x = 72,708,480.90
  5. Step 5: Solve for x
    x = 72,708,480.90/9,795
  6. Step 6: Final answer
    x = 7,423.02

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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.