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Finding the Fourth Proportional to 10,704.67, 14,767.52 and 6,929.05

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Solution

The fourth proportional to 10,704.67, 14,767.52 and 6,929.05 is: 9,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.67 : 14,767.52 = 6,929.05 : x
  2. Step 2: Convert to fraction form
    10,704.67/14,767.52 = 6,929.05/x
  3. Step 3: Cross multiply
    10,704.67x = 14,767.52 × 6,929.05
  4. Step 4: Simplify right side
    10,704.67x = 102,324,884.46
  5. Step 5: Solve for x
    x = 102,324,884.46/10,704.67
  6. Step 6: Final answer
    x = 9,558.90

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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.