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Finding the Fourth Proportional to 9,659, 13,329.42 and 5,243

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Solution

The fourth proportional to 9,659, 13,329.42 and 5,243 is: 7,235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659 : 13,329.42 = 5,243 : x
  2. Step 2: Convert to fraction form
    9,659/13,329.42 = 5,243/x
  3. Step 3: Cross multiply
    9,659x = 13,329.42 × 5,243
  4. Step 4: Simplify right side
    9,659x = 69,886,149.06
  5. Step 5: Solve for x
    x = 69,886,149.06/9,659
  6. Step 6: Final answer
    x = 7,235.34

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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.