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Finding the Fourth Proportional to 10,314.05, 14,244.99 and 6,970.67

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Solution

The fourth proportional to 10,314.05, 14,244.99 and 6,970.67 is: 9,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.05 : 14,244.99 = 6,970.67 : x
  2. Step 2: Convert to fraction form
    10,314.05/14,244.99 = 6,970.67/x
  3. Step 3: Cross multiply
    10,314.05x = 14,244.99 × 6,970.67
  4. Step 4: Simplify right side
    10,314.05x = 99,297,124.44
  5. Step 5: Solve for x
    x = 99,297,124.44/10,314.05
  6. Step 6: Final answer
    x = 9,627.37

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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.