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Finding the Fourth Proportional to 9,004.92, 13,507.46 and 3,161.53

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Solution

The fourth proportional to 9,004.92, 13,507.46 and 3,161.53 is: 4,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.92 : 13,507.46 = 3,161.53 : x
  2. Step 2: Convert to fraction form
    9,004.92/13,507.46 = 3,161.53/x
  3. Step 3: Cross multiply
    9,004.92x = 13,507.46 × 3,161.53
  4. Step 4: Simplify right side
    9,004.92x = 42,704,252.95
  5. Step 5: Solve for x
    x = 42,704,252.95/9,004.92
  6. Step 6: Final answer
    x = 4,742.32

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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.