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Finding the Fourth Proportional to 7,005.53, 9,664.33 and 4,171.29

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Solution

The fourth proportional to 7,005.53, 9,664.33 and 4,171.29 is: 5,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.53 : 9,664.33 = 4,171.29 : x
  2. Step 2: Convert to fraction form
    7,005.53/9,664.33 = 4,171.29/x
  3. Step 3: Cross multiply
    7,005.53x = 9,664.33 × 4,171.29
  4. Step 4: Simplify right side
    7,005.53x = 40,312,723.09
  5. Step 5: Solve for x
    x = 40,312,723.09/7,005.53
  6. Step 6: Final answer
    x = 5,754.41

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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.