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Finding the Fourth Proportional to 9,762.12, 14,634.21 and 3,520.66

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Solution

The fourth proportional to 9,762.12, 14,634.21 and 3,520.66 is: 5,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.12 : 14,634.21 = 3,520.66 : x
  2. Step 2: Convert to fraction form
    9,762.12/14,634.21 = 3,520.66/x
  3. Step 3: Cross multiply
    9,762.12x = 14,634.21 × 3,520.66
  4. Step 4: Simplify right side
    9,762.12x = 51,522,077.78
  5. Step 5: Solve for x
    x = 51,522,077.78/9,762.12
  6. Step 6: Final answer
    x = 5,277.76

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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.