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Finding the Fourth Proportional to 9,567.37, 13,202.82 and 5,318.41

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Solution

The fourth proportional to 9,567.37, 13,202.82 and 5,318.41 is: 7,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.37 : 13,202.82 = 5,318.41 : x
  2. Step 2: Convert to fraction form
    9,567.37/13,202.82 = 5,318.41/x
  3. Step 3: Cross multiply
    9,567.37x = 13,202.82 × 5,318.41
  4. Step 4: Simplify right side
    9,567.37x = 70,218,009.92
  5. Step 5: Solve for x
    x = 70,218,009.92/9,567.37
  6. Step 6: Final answer
    x = 7,339.32

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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.