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Finding the Fourth Proportional to 9,662.58, 14,491.71 and 4,727.25

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Solution

The fourth proportional to 9,662.58, 14,491.71 and 4,727.25 is: 7,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.58 : 14,491.71 = 4,727.25 : x
  2. Step 2: Convert to fraction form
    9,662.58/14,491.71 = 4,727.25/x
  3. Step 3: Cross multiply
    9,662.58x = 14,491.71 × 4,727.25
  4. Step 4: Simplify right side
    9,662.58x = 68,505,936.10
  5. Step 5: Solve for x
    x = 68,505,936.10/9,662.58
  6. Step 6: Final answer
    x = 7,089.82

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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.