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Finding the Fourth Proportional to 6,461.55, 9,683.16 and 2,709.29

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Solution

The fourth proportional to 6,461.55, 9,683.16 and 2,709.29 is: 4,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.55 : 9,683.16 = 2,709.29 : x
  2. Step 2: Convert to fraction form
    6,461.55/9,683.16 = 2,709.29/x
  3. Step 3: Cross multiply
    6,461.55x = 9,683.16 × 2,709.29
  4. Step 4: Simplify right side
    6,461.55x = 26,234,488.56
  5. Step 5: Solve for x
    x = 26,234,488.56/6,461.55
  6. Step 6: Final answer
    x = 4,060.09

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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.