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Finding the Fourth Proportional to 9,684.59, 14,527.03 and 3,761.82

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Solution

The fourth proportional to 9,684.59, 14,527.03 and 3,761.82 is: 5,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.59 : 14,527.03 = 3,761.82 : x
  2. Step 2: Convert to fraction form
    9,684.59/14,527.03 = 3,761.82/x
  3. Step 3: Cross multiply
    9,684.59x = 14,527.03 × 3,761.82
  4. Step 4: Simplify right side
    9,684.59x = 54,648,062.59
  5. Step 5: Solve for x
    x = 54,648,062.59/9,684.59
  6. Step 6: Final answer
    x = 5,642.79

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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.