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Finding the Fourth Proportional to 10,381.46, 15,576.09 and 6,224.45

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Solution

The fourth proportional to 10,381.46, 15,576.09 and 6,224.45 is: 9,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.46 : 15,576.09 = 6,224.45 : x
  2. Step 2: Convert to fraction form
    10,381.46/15,576.09 = 6,224.45/x
  3. Step 3: Cross multiply
    10,381.46x = 15,576.09 × 6,224.45
  4. Step 4: Simplify right side
    10,381.46x = 96,952,593.40
  5. Step 5: Solve for x
    x = 96,952,593.40/10,381.46
  6. Step 6: Final answer
    x = 9,339.01

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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.