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Finding the Fourth Proportional to 9,232.41, 13,782.10 and 8,576.31

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Solution

The fourth proportional to 9,232.41, 13,782.10 and 8,576.31 is: 12,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.41 : 13,782.10 = 8,576.31 : x
  2. Step 2: Convert to fraction form
    9,232.41/13,782.10 = 8,576.31/x
  3. Step 3: Cross multiply
    9,232.41x = 13,782.10 × 8,576.31
  4. Step 4: Simplify right side
    9,232.41x = 118,199,540.61
  5. Step 5: Solve for x
    x = 118,199,540.61/9,232.41
  6. Step 6: Final answer
    x = 12,802.67

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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.