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Finding the Fourth Proportional to 9,385.32, 14,096.22 and 6,910.38

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Solution

The fourth proportional to 9,385.32, 14,096.22 and 6,910.38 is: 10,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.32 : 14,096.22 = 6,910.38 : x
  2. Step 2: Convert to fraction form
    9,385.32/14,096.22 = 6,910.38/x
  3. Step 3: Cross multiply
    9,385.32x = 14,096.22 × 6,910.38
  4. Step 4: Simplify right side
    9,385.32x = 97,410,236.76
  5. Step 5: Solve for x
    x = 97,410,236.76/9,385.32
  6. Step 6: Final answer
    x = 10,379.00

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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.