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Finding the Fourth Proportional to 9,815.29, 13,539.24 and 6,278.42

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Solution

The fourth proportional to 9,815.29, 13,539.24 and 6,278.42 is: 8,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.29 : 13,539.24 = 6,278.42 : x
  2. Step 2: Convert to fraction form
    9,815.29/13,539.24 = 6,278.42/x
  3. Step 3: Cross multiply
    9,815.29x = 13,539.24 × 6,278.42
  4. Step 4: Simplify right side
    9,815.29x = 85,005,069.05
  5. Step 5: Solve for x
    x = 85,005,069.05/9,815.29
  6. Step 6: Final answer
    x = 8,660.48

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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.