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Finding the Fourth Proportional to 4,509.45, 6,767.01 and 4,472.31

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Solution

The fourth proportional to 4,509.45, 6,767.01 and 4,472.31 is: 6,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.45 : 6,767.01 = 4,472.31 : x
  2. Step 2: Convert to fraction form
    4,509.45/6,767.01 = 4,472.31/x
  3. Step 3: Cross multiply
    4,509.45x = 6,767.01 × 4,472.31
  4. Step 4: Simplify right side
    4,509.45x = 30,264,166.49
  5. Step 5: Solve for x
    x = 30,264,166.49/4,509.45
  6. Step 6: Final answer
    x = 6,711.28

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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.