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Finding the Fourth Proportional to 9,594.10, 13,246.83 and 8,265.52

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Solution

The fourth proportional to 9,594.10, 13,246.83 and 8,265.52 is: 11,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.10 : 13,246.83 = 8,265.52 : x
  2. Step 2: Convert to fraction form
    9,594.10/13,246.83 = 8,265.52/x
  3. Step 3: Cross multiply
    9,594.10x = 13,246.83 × 8,265.52
  4. Step 4: Simplify right side
    9,594.10x = 109,491,938.30
  5. Step 5: Solve for x
    x = 109,491,938.30/9,594.10
  6. Step 6: Final answer
    x = 11,412.42

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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.