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Finding the Fourth Proportional to 9,567.78, 13,200.27 and 5,980.29

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Solution

The fourth proportional to 9,567.78, 13,200.27 and 5,980.29 is: 8,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.78 : 13,200.27 = 5,980.29 : x
  2. Step 2: Convert to fraction form
    9,567.78/13,200.27 = 5,980.29/x
  3. Step 3: Cross multiply
    9,567.78x = 13,200.27 × 5,980.29
  4. Step 4: Simplify right side
    9,567.78x = 78,941,442.68
  5. Step 5: Solve for x
    x = 78,941,442.68/9,567.78
  6. Step 6: Final answer
    x = 8,250.76

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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.