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Finding the Fourth Proportional to 9,232.91, 13,782.85 and 8,576.81

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Solution

The fourth proportional to 9,232.91, 13,782.85 and 8,576.81 is: 12,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.91 : 13,782.85 = 8,576.81 : x
  2. Step 2: Convert to fraction form
    9,232.91/13,782.85 = 8,576.81/x
  3. Step 3: Cross multiply
    9,232.91x = 13,782.85 × 8,576.81
  4. Step 4: Simplify right side
    9,232.91x = 118,212,842.82
  5. Step 5: Solve for x
    x = 118,212,842.82/9,232.91
  6. Step 6: Final answer
    x = 12,803.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.