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Finding the Fourth Proportional to 9,879, 13,635.30 and 6,522.48

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Solution

The fourth proportional to 9,879, 13,635.30 and 6,522.48 is: 9,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879 : 13,635.30 = 6,522.48 : x
  2. Step 2: Convert to fraction form
    9,879/13,635.30 = 6,522.48/x
  3. Step 3: Cross multiply
    9,879x = 13,635.30 × 6,522.48
  4. Step 4: Simplify right side
    9,879x = 88,935,971.54
  5. Step 5: Solve for x
    x = 88,935,971.54/9,879
  6. Step 6: Final answer
    x = 9,002.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.