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Finding the Fourth Proportional to 6,462.40, 9,709.82 and 4,123.48

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Solution

The fourth proportional to 6,462.40, 9,709.82 and 4,123.48 is: 6,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.40 : 9,709.82 = 4,123.48 : x
  2. Step 2: Convert to fraction form
    6,462.40/9,709.82 = 4,123.48/x
  3. Step 3: Cross multiply
    6,462.40x = 9,709.82 × 4,123.48
  4. Step 4: Simplify right side
    6,462.40x = 40,038,248.57
  5. Step 5: Solve for x
    x = 40,038,248.57/6,462.40
  6. Step 6: Final answer
    x = 6,195.57

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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.