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Finding the Fourth Proportional to 10,431.97, 15,627.08 and 6,269.72

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Solution

The fourth proportional to 10,431.97, 15,627.08 and 6,269.72 is: 9,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.97 : 15,627.08 = 6,269.72 : x
  2. Step 2: Convert to fraction form
    10,431.97/15,627.08 = 6,269.72/x
  3. Step 3: Cross multiply
    10,431.97x = 15,627.08 × 6,269.72
  4. Step 4: Simplify right side
    10,431.97x = 97,977,353.56
  5. Step 5: Solve for x
    x = 97,977,353.56/10,431.97
  6. Step 6: Final answer
    x = 9,392.03

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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.