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Finding the Fourth Proportional to 9,761.94, 14,651.10 and 4,219.52

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Solution

The fourth proportional to 9,761.94, 14,651.10 and 4,219.52 is: 6,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.94 : 14,651.10 = 4,219.52 : x
  2. Step 2: Convert to fraction form
    9,761.94/14,651.10 = 4,219.52/x
  3. Step 3: Cross multiply
    9,761.94x = 14,651.10 × 4,219.52
  4. Step 4: Simplify right side
    9,761.94x = 61,820,536.22
  5. Step 5: Solve for x
    x = 61,820,536.22/9,761.94
  6. Step 6: Final answer
    x = 6,332.81

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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.