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Finding the Fourth Proportional to 9,004.92, 13,507.37 and 2,431.10

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Solution

The fourth proportional to 9,004.92, 13,507.37 and 2,431.10 is: 3,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.92 : 13,507.37 = 2,431.10 : x
  2. Step 2: Convert to fraction form
    9,004.92/13,507.37 = 2,431.10/x
  3. Step 3: Cross multiply
    9,004.92x = 13,507.37 × 2,431.10
  4. Step 4: Simplify right side
    9,004.92x = 32,837,687.51
  5. Step 5: Solve for x
    x = 32,837,687.51/9,004.92
  6. Step 6: Final answer
    x = 3,646.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.