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Finding the Fourth Proportional to 8,374.27, 12,549.51 and 6,165.67

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Solution

The fourth proportional to 8,374.27, 12,549.51 and 6,165.67 is: 9,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.27 : 12,549.51 = 6,165.67 : x
  2. Step 2: Convert to fraction form
    8,374.27/12,549.51 = 6,165.67/x
  3. Step 3: Cross multiply
    8,374.27x = 12,549.51 × 6,165.67
  4. Step 4: Simplify right side
    8,374.27x = 77,376,137.32
  5. Step 5: Solve for x
    x = 77,376,137.32/8,374.27
  6. Step 6: Final answer
    x = 9,239.75

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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.