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Finding the Fourth Proportional to 9,511.96, 13,124.28 and 5,734.12

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Solution

The fourth proportional to 9,511.96, 13,124.28 and 5,734.12 is: 7,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.96 : 13,124.28 = 5,734.12 : x
  2. Step 2: Convert to fraction form
    9,511.96/13,124.28 = 5,734.12/x
  3. Step 3: Cross multiply
    9,511.96x = 13,124.28 × 5,734.12
  4. Step 4: Simplify right side
    9,511.96x = 75,256,196.43
  5. Step 5: Solve for x
    x = 75,256,196.43/9,511.96
  6. Step 6: Final answer
    x = 7,911.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.