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Finding the Fourth Proportional to 9,617.66, 13,273.28 and 5,839.95

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Solution

The fourth proportional to 9,617.66, 13,273.28 and 5,839.95 is: 8,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.66 : 13,273.28 = 5,839.95 : x
  2. Step 2: Convert to fraction form
    9,617.66/13,273.28 = 5,839.95/x
  3. Step 3: Cross multiply
    9,617.66x = 13,273.28 × 5,839.95
  4. Step 4: Simplify right side
    9,617.66x = 77,515,262.34
  5. Step 5: Solve for x
    x = 77,515,262.34/9,617.66
  6. Step 6: Final answer
    x = 8,059.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.