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Finding the Fourth Proportional to 6,513.75, 8,996.40 and 4,414.23

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Solution

The fourth proportional to 6,513.75, 8,996.40 and 4,414.23 is: 6,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.75 : 8,996.40 = 4,414.23 : x
  2. Step 2: Convert to fraction form
    6,513.75/8,996.40 = 4,414.23/x
  3. Step 3: Cross multiply
    6,513.75x = 8,996.40 × 4,414.23
  4. Step 4: Simplify right side
    6,513.75x = 39,712,178.77
  5. Step 5: Solve for x
    x = 39,712,178.77/6,513.75
  6. Step 6: Final answer
    x = 6,096.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.