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Finding the Fourth Proportional to 9,760.04, 14,642.22 and 2,834.12

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Solution

The fourth proportional to 9,760.04, 14,642.22 and 2,834.12 is: 4,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.04 : 14,642.22 = 2,834.12 : x
  2. Step 2: Convert to fraction form
    9,760.04/14,642.22 = 2,834.12/x
  3. Step 3: Cross multiply
    9,760.04x = 14,642.22 × 2,834.12
  4. Step 4: Simplify right side
    9,760.04x = 41,497,808.55
  5. Step 5: Solve for x
    x = 41,497,808.55/9,760.04
  6. Step 6: Final answer
    x = 4,251.81

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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.