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Finding the Fourth Proportional to 9,684.91, 14,528.23 and 3,761.66

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Solution

The fourth proportional to 9,684.91, 14,528.23 and 3,761.66 is: 5,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.91 : 14,528.23 = 3,761.66 : x
  2. Step 2: Convert to fraction form
    9,684.91/14,528.23 = 3,761.66/x
  3. Step 3: Cross multiply
    9,684.91x = 14,528.23 × 3,761.66
  4. Step 4: Simplify right side
    9,684.91x = 54,650,189.02
  5. Step 5: Solve for x
    x = 54,650,189.02/9,684.91
  6. Step 6: Final answer
    x = 5,642.82

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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.