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Finding the Fourth Proportional to 9,537.94, 13,162.22 and 5,289.01

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Solution

The fourth proportional to 9,537.94, 13,162.22 and 5,289.01 is: 7,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.94 : 13,162.22 = 5,289.01 : x
  2. Step 2: Convert to fraction form
    9,537.94/13,162.22 = 5,289.01/x
  3. Step 3: Cross multiply
    9,537.94x = 13,162.22 × 5,289.01
  4. Step 4: Simplify right side
    9,537.94x = 69,615,142.88
  5. Step 5: Solve for x
    x = 69,615,142.88/9,537.94
  6. Step 6: Final answer
    x = 7,298.76

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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.