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Finding the Fourth Proportional to 34,297.20, 51,446.70 and 9,337.46

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Solution

The fourth proportional to 34,297.20, 51,446.70 and 9,337.46 is: 14,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,297.20 : 51,446.70 = 9,337.46 : x
  2. Step 2: Convert to fraction form
    34,297.20/51,446.70 = 9,337.46/x
  3. Step 3: Cross multiply
    34,297.20x = 51,446.70 × 9,337.46
  4. Step 4: Simplify right side
    34,297.20x = 480,381,503.38
  5. Step 5: Solve for x
    x = 480,381,503.38/34,297.20
  6. Step 6: Final answer
    x = 14,006.44

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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.