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Finding the Fourth Proportional to 9,567.40, 13,201.84 and 5,318.44

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Solution

The fourth proportional to 9,567.40, 13,201.84 and 5,318.44 is: 7,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.40 : 13,201.84 = 5,318.44 : x
  2. Step 2: Convert to fraction form
    9,567.40/13,201.84 = 5,318.44/x
  3. Step 3: Cross multiply
    9,567.40x = 13,201.84 × 5,318.44
  4. Step 4: Simplify right side
    9,567.40x = 70,213,193.93
  5. Step 5: Solve for x
    x = 70,213,193.93/9,567.40
  6. Step 6: Final answer
    x = 7,338.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.