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Finding the Fourth Proportional to 9,719.31, 13,409.22 and 6,363.98

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Solution

The fourth proportional to 9,719.31, 13,409.22 and 6,363.98 is: 8,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.31 : 13,409.22 = 6,363.98 : x
  2. Step 2: Convert to fraction form
    9,719.31/13,409.22 = 6,363.98/x
  3. Step 3: Cross multiply
    9,719.31x = 13,409.22 × 6,363.98
  4. Step 4: Simplify right side
    9,719.31x = 85,335,940.85
  5. Step 5: Solve for x
    x = 85,335,940.85/9,719.31
  6. Step 6: Final answer
    x = 8,780.04

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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.