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Finding the Fourth Proportional to 9,557.86, 13,188.21 and 5,308.24

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Solution

The fourth proportional to 9,557.86, 13,188.21 and 5,308.24 is: 7,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.86 : 13,188.21 = 5,308.24 : x
  2. Step 2: Convert to fraction form
    9,557.86/13,188.21 = 5,308.24/x
  3. Step 3: Cross multiply
    9,557.86x = 13,188.21 × 5,308.24
  4. Step 4: Simplify right side
    9,557.86x = 70,006,183.85
  5. Step 5: Solve for x
    x = 70,006,183.85/9,557.86
  6. Step 6: Final answer
    x = 7,324.46

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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.