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Finding the Fourth Proportional to 9,557.50, 13,189.36 and 5,365.76

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Solution

The fourth proportional to 9,557.50, 13,189.36 and 5,365.76 is: 7,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.50 : 13,189.36 = 5,365.76 : x
  2. Step 2: Convert to fraction form
    9,557.50/13,189.36 = 5,365.76/x
  3. Step 3: Cross multiply
    9,557.50x = 13,189.36 × 5,365.76
  4. Step 4: Simplify right side
    9,557.50x = 70,770,940.31
  5. Step 5: Solve for x
    x = 70,770,940.31/9,557.50
  6. Step 6: Final answer
    x = 7,404.75

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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.