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Finding the Fourth Proportional to 9,672.48, 14,511.15 and 3,829.14

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Solution

The fourth proportional to 9,672.48, 14,511.15 and 3,829.14 is: 5,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.48 : 14,511.15 = 3,829.14 : x
  2. Step 2: Convert to fraction form
    9,672.48/14,511.15 = 3,829.14/x
  3. Step 3: Cross multiply
    9,672.48x = 14,511.15 × 3,829.14
  4. Step 4: Simplify right side
    9,672.48x = 55,565,224.91
  5. Step 5: Solve for x
    x = 55,565,224.91/9,672.48
  6. Step 6: Final answer
    x = 5,744.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.