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Finding the Fourth Proportional to 10,306.85, 14,223.70 and 6,325.70

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Solution

The fourth proportional to 10,306.85, 14,223.70 and 6,325.70 is: 8,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.85 : 14,223.70 = 6,325.70 : x
  2. Step 2: Convert to fraction form
    10,306.85/14,223.70 = 6,325.70/x
  3. Step 3: Cross multiply
    10,306.85x = 14,223.70 × 6,325.70
  4. Step 4: Simplify right side
    10,306.85x = 89,974,795.88
  5. Step 5: Solve for x
    x = 89,974,795.88/10,306.85
  6. Step 6: Final answer
    x = 8,729.62

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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.