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Finding the Fourth Proportional to 6,385, 9,572.90 and 4,299.84

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Solution

The fourth proportional to 6,385, 9,572.90 and 4,299.84 is: 6,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385 : 9,572.90 = 4,299.84 : x
  2. Step 2: Convert to fraction form
    6,385/9,572.90 = 4,299.84/x
  3. Step 3: Cross multiply
    6,385x = 9,572.90 × 4,299.84
  4. Step 4: Simplify right side
    6,385x = 41,161,938.34
  5. Step 5: Solve for x
    x = 41,161,938.34/6,385
  6. Step 6: Final answer
    x = 6,446.66

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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.