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Finding the Fourth Proportional to 9,215.85, 13,807.58 and 8,179.05

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Solution

The fourth proportional to 9,215.85, 13,807.58 and 8,179.05 is: 12,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.85 : 13,807.58 = 8,179.05 : x
  2. Step 2: Convert to fraction form
    9,215.85/13,807.58 = 8,179.05/x
  3. Step 3: Cross multiply
    9,215.85x = 13,807.58 × 8,179.05
  4. Step 4: Simplify right side
    9,215.85x = 112,932,846.30
  5. Step 5: Solve for x
    x = 112,932,846.30/9,215.85
  6. Step 6: Final answer
    x = 12,254.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.