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Finding the Fourth Proportional to 9,472.45, 13,059.82 and 6,483.15

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Solution

The fourth proportional to 9,472.45, 13,059.82 and 6,483.15 is: 8,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.45 : 13,059.82 = 6,483.15 : x
  2. Step 2: Convert to fraction form
    9,472.45/13,059.82 = 6,483.15/x
  3. Step 3: Cross multiply
    9,472.45x = 13,059.82 × 6,483.15
  4. Step 4: Simplify right side
    9,472.45x = 84,668,772.03
  5. Step 5: Solve for x
    x = 84,668,772.03/9,472.45
  6. Step 6: Final answer
    x = 8,938.42

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Why These Related Problems?

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