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Finding the Fourth Proportional to 9,171.37, 12,655.76 and 5,394.68

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Solution

The fourth proportional to 9,171.37, 12,655.76 and 5,394.68 is: 7,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.37 : 12,655.76 = 5,394.68 : x
  2. Step 2: Convert to fraction form
    9,171.37/12,655.76 = 5,394.68/x
  3. Step 3: Cross multiply
    9,171.37x = 12,655.76 × 5,394.68
  4. Step 4: Simplify right side
    9,171.37x = 68,273,775.36
  5. Step 5: Solve for x
    x = 68,273,775.36/9,171.37
  6. Step 6: Final answer
    x = 7,444.23

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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.