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Finding the Fourth Proportional to 10,424.89, 14,385.90 and 6,446.44

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Solution

The fourth proportional to 10,424.89, 14,385.90 and 6,446.44 is: 8,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.89 : 14,385.90 = 6,446.44 : x
  2. Step 2: Convert to fraction form
    10,424.89/14,385.90 = 6,446.44/x
  3. Step 3: Cross multiply
    10,424.89x = 14,385.90 × 6,446.44
  4. Step 4: Simplify right side
    10,424.89x = 92,737,841.20
  5. Step 5: Solve for x
    x = 92,737,841.20/10,424.89
  6. Step 6: Final answer
    x = 8,895.81

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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.