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Finding the Fourth Proportional to 10,431.96, 15,627.09 and 6,269.72

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Solution

The fourth proportional to 10,431.96, 15,627.09 and 6,269.72 is: 9,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.96 : 15,627.09 = 6,269.72 : x
  2. Step 2: Convert to fraction form
    10,431.96/15,627.09 = 6,269.72/x
  3. Step 3: Cross multiply
    10,431.96x = 15,627.09 × 6,269.72
  4. Step 4: Simplify right side
    10,431.96x = 97,977,400.58
  5. Step 5: Solve for x
    x = 97,977,400.58/10,431.96
  6. Step 6: Final answer
    x = 9,392.04

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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.