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Finding the Fourth Proportional to 9,161.58, 13,742.94 and 3,318.24

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Solution

The fourth proportional to 9,161.58, 13,742.94 and 3,318.24 is: 4,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.58 : 13,742.94 = 3,318.24 : x
  2. Step 2: Convert to fraction form
    9,161.58/13,742.94 = 3,318.24/x
  3. Step 3: Cross multiply
    9,161.58x = 13,742.94 × 3,318.24
  4. Step 4: Simplify right side
    9,161.58x = 45,602,373.23
  5. Step 5: Solve for x
    x = 45,602,373.23/9,161.58
  6. Step 6: Final answer
    x = 4,977.57

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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.