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Finding the Fourth Proportional to 9,761.38, 14,642.10 and 2,365.81

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Solution

The fourth proportional to 9,761.38, 14,642.10 and 2,365.81 is: 3,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.38 : 14,642.10 = 2,365.81 : x
  2. Step 2: Convert to fraction form
    9,761.38/14,642.10 = 2,365.81/x
  3. Step 3: Cross multiply
    9,761.38x = 14,642.10 × 2,365.81
  4. Step 4: Simplify right side
    9,761.38x = 34,640,426.60
  5. Step 5: Solve for x
    x = 34,640,426.60/9,761.38
  6. Step 6: Final answer
    x = 3,548.72

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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.