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Finding the Fourth Proportional to 9,636.32, 13,298.09 and 5,387.38

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Solution

The fourth proportional to 9,636.32, 13,298.09 and 5,387.38 is: 7,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.32 : 13,298.09 = 5,387.38 : x
  2. Step 2: Convert to fraction form
    9,636.32/13,298.09 = 5,387.38/x
  3. Step 3: Cross multiply
    9,636.32x = 13,298.09 × 5,387.38
  4. Step 4: Simplify right side
    9,636.32x = 71,641,803.92
  5. Step 5: Solve for x
    x = 71,641,803.92/9,636.32
  6. Step 6: Final answer
    x = 7,434.56

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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.