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Finding the Fourth Proportional to 6,381.70, 9,554.32 and 5,725.60

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Solution

The fourth proportional to 6,381.70, 9,554.32 and 5,725.60 is: 8,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.70 : 9,554.32 = 5,725.60 : x
  2. Step 2: Convert to fraction form
    6,381.70/9,554.32 = 5,725.60/x
  3. Step 3: Cross multiply
    6,381.70x = 9,554.32 × 5,725.60
  4. Step 4: Simplify right side
    6,381.70x = 54,704,214.59
  5. Step 5: Solve for x
    x = 54,704,214.59/6,381.70
  6. Step 6: Final answer
    x = 8,572.04

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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.