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Finding the Fourth Proportional to 8,277.34, 11,426.96 and 6,384.67

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Solution

The fourth proportional to 8,277.34, 11,426.96 and 6,384.67 is: 8,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.34 : 11,426.96 = 6,384.67 : x
  2. Step 2: Convert to fraction form
    8,277.34/11,426.96 = 6,384.67/x
  3. Step 3: Cross multiply
    8,277.34x = 11,426.96 × 6,384.67
  4. Step 4: Simplify right side
    8,277.34x = 72,957,411.40
  5. Step 5: Solve for x
    x = 72,957,411.40/8,277.34
  6. Step 6: Final answer
    x = 8,814.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.