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Finding the Fourth Proportional to 9,600.95, 14,403.39 and 5,442.82

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Solution

The fourth proportional to 9,600.95, 14,403.39 and 5,442.82 is: 8,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.95 : 14,403.39 = 5,442.82 : x
  2. Step 2: Convert to fraction form
    9,600.95/14,403.39 = 5,442.82/x
  3. Step 3: Cross multiply
    9,600.95x = 14,403.39 × 5,442.82
  4. Step 4: Simplify right side
    9,600.95x = 78,395,023.15
  5. Step 5: Solve for x
    x = 78,395,023.15/9,600.95
  6. Step 6: Final answer
    x = 8,165.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.