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Finding the Fourth Proportional to 9,162.25, 13,742.69 and 2,922.01

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Solution

The fourth proportional to 9,162.25, 13,742.69 and 2,922.01 is: 4,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.25 : 13,742.69 = 2,922.01 : x
  2. Step 2: Convert to fraction form
    9,162.25/13,742.69 = 2,922.01/x
  3. Step 3: Cross multiply
    9,162.25x = 13,742.69 × 2,922.01
  4. Step 4: Simplify right side
    9,162.25x = 40,156,263.00
  5. Step 5: Solve for x
    x = 40,156,263.00/9,162.25
  6. Step 6: Final answer
    x = 4,382.79

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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.