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Finding the Fourth Proportional to 9,644.64, 14,461.46 and 5,751.78

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Solution

The fourth proportional to 9,644.64, 14,461.46 and 5,751.78 is: 8,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.64 : 14,461.46 = 5,751.78 : x
  2. Step 2: Convert to fraction form
    9,644.64/14,461.46 = 5,751.78/x
  3. Step 3: Cross multiply
    9,644.64x = 14,461.46 × 5,751.78
  4. Step 4: Simplify right side
    9,644.64x = 83,179,136.40
  5. Step 5: Solve for x
    x = 83,179,136.40/9,644.64
  6. Step 6: Final answer
    x = 8,624.39

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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.