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Finding the Fourth Proportional to 9,538.55, 13,162.95 and 5,289.54

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Solution

The fourth proportional to 9,538.55, 13,162.95 and 5,289.54 is: 7,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.55 : 13,162.95 = 5,289.54 : x
  2. Step 2: Convert to fraction form
    9,538.55/13,162.95 = 5,289.54/x
  3. Step 3: Cross multiply
    9,538.55x = 13,162.95 × 5,289.54
  4. Step 4: Simplify right side
    9,538.55x = 69,625,891.19
  5. Step 5: Solve for x
    x = 69,625,891.19/9,538.55
  6. Step 6: Final answer
    x = 7,299.42

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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.