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Finding the Fourth Proportional to 6,434.29, 9,655.11 and 3,472.72

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Solution

The fourth proportional to 6,434.29, 9,655.11 and 3,472.72 is: 5,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.29 : 9,655.11 = 3,472.72 : x
  2. Step 2: Convert to fraction form
    6,434.29/9,655.11 = 3,472.72/x
  3. Step 3: Cross multiply
    6,434.29x = 9,655.11 × 3,472.72
  4. Step 4: Simplify right side
    6,434.29x = 33,529,493.60
  5. Step 5: Solve for x
    x = 33,529,493.60/6,434.29
  6. Step 6: Final answer
    x = 5,211.06

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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.