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Finding the Fourth Proportional to 9,639.51, 13,278.74 and 8,218.56

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Solution

The fourth proportional to 9,639.51, 13,278.74 and 8,218.56 is: 11,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.51 : 13,278.74 = 8,218.56 : x
  2. Step 2: Convert to fraction form
    9,639.51/13,278.74 = 8,218.56/x
  3. Step 3: Cross multiply
    9,639.51x = 13,278.74 × 8,218.56
  4. Step 4: Simplify right side
    9,639.51x = 109,132,130.12
  5. Step 5: Solve for x
    x = 109,132,130.12/9,639.51
  6. Step 6: Final answer
    x = 11,321.34

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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.