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Finding the Fourth Proportional to 9,761.18, 14,642.24 and 3,520.94

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Solution

The fourth proportional to 9,761.18, 14,642.24 and 3,520.94 is: 5,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.18 : 14,642.24 = 3,520.94 : x
  2. Step 2: Convert to fraction form
    9,761.18/14,642.24 = 3,520.94/x
  3. Step 3: Cross multiply
    9,761.18x = 14,642.24 × 3,520.94
  4. Step 4: Simplify right side
    9,761.18x = 51,554,357.69
  5. Step 5: Solve for x
    x = 51,554,357.69/9,761.18
  6. Step 6: Final answer
    x = 5,281.57

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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.