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Finding the Fourth Proportional to 9,178.45, 13,777.90 and 8,576.15

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Solution

The fourth proportional to 9,178.45, 13,777.90 and 8,576.15 is: 12,873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.45 : 13,777.90 = 8,576.15 : x
  2. Step 2: Convert to fraction form
    9,178.45/13,777.90 = 8,576.15/x
  3. Step 3: Cross multiply
    9,178.45x = 13,777.90 × 8,576.15
  4. Step 4: Simplify right side
    9,178.45x = 118,161,246.76
  5. Step 5: Solve for x
    x = 118,161,246.76/9,178.45
  6. Step 6: Final answer
    x = 12,873.77

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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.