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Finding the Fourth Proportional to 9,568.18, 13,204.08 and 5,319.11

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Solution

The fourth proportional to 9,568.18, 13,204.08 and 5,319.11 is: 7,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.18 : 13,204.08 = 5,319.11 : x
  2. Step 2: Convert to fraction form
    9,568.18/13,204.08 = 5,319.11/x
  3. Step 3: Cross multiply
    9,568.18x = 13,204.08 × 5,319.11
  4. Step 4: Simplify right side
    9,568.18x = 70,233,953.97
  5. Step 5: Solve for x
    x = 70,233,953.97/9,568.18
  6. Step 6: Final answer
    x = 7,340.37

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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.