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Finding the Fourth Proportional to 9,572.69, 13,205.45 and 6,217.35

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Solution

The fourth proportional to 9,572.69, 13,205.45 and 6,217.35 is: 8,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.69 : 13,205.45 = 6,217.35 : x
  2. Step 2: Convert to fraction form
    9,572.69/13,205.45 = 6,217.35/x
  3. Step 3: Cross multiply
    9,572.69x = 13,205.45 × 6,217.35
  4. Step 4: Simplify right side
    9,572.69x = 82,102,873.47
  5. Step 5: Solve for x
    x = 82,102,873.47/9,572.69
  6. Step 6: Final answer
    x = 8,576.79

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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.