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Finding the Fourth Proportional to 9,519, 13,141.98 and 6,212.76

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Solution

The fourth proportional to 9,519, 13,141.98 and 6,212.76 is: 8,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519 : 13,141.98 = 6,212.76 : x
  2. Step 2: Convert to fraction form
    9,519/13,141.98 = 6,212.76/x
  3. Step 3: Cross multiply
    9,519x = 13,141.98 × 6,212.76
  4. Step 4: Simplify right side
    9,519x = 81,647,967.66
  5. Step 5: Solve for x
    x = 81,647,967.66/9,519
  6. Step 6: Final answer
    x = 8,577.37

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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.