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Finding the Fourth Proportional to 6,644.34, 9,166.32 and 4,872.87

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Solution

The fourth proportional to 6,644.34, 9,166.32 and 4,872.87 is: 6,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.34 : 9,166.32 = 4,872.87 : x
  2. Step 2: Convert to fraction form
    6,644.34/9,166.32 = 4,872.87/x
  3. Step 3: Cross multiply
    6,644.34x = 9,166.32 × 4,872.87
  4. Step 4: Simplify right side
    6,644.34x = 44,666,285.74
  5. Step 5: Solve for x
    x = 44,666,285.74/6,644.34
  6. Step 6: Final answer
    x = 6,722.46

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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.