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Finding the Fourth Proportional to 9,872.81, 13,614.13 and 6,511.34

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Solution

The fourth proportional to 9,872.81, 13,614.13 and 6,511.34 is: 8,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.81 : 13,614.13 = 6,511.34 : x
  2. Step 2: Convert to fraction form
    9,872.81/13,614.13 = 6,511.34/x
  3. Step 3: Cross multiply
    9,872.81x = 13,614.13 × 6,511.34
  4. Step 4: Simplify right side
    9,872.81x = 88,646,158.20
  5. Step 5: Solve for x
    x = 88,646,158.20/9,872.81
  6. Step 6: Final answer
    x = 8,978.82

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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.