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Finding the Fourth Proportional to 6,688.14, 9,224.04 and 5,013.48

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Solution

The fourth proportional to 6,688.14, 9,224.04 and 5,013.48 is: 6,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.14 : 9,224.04 = 5,013.48 : x
  2. Step 2: Convert to fraction form
    6,688.14/9,224.04 = 5,013.48/x
  3. Step 3: Cross multiply
    6,688.14x = 9,224.04 × 5,013.48
  4. Step 4: Simplify right side
    6,688.14x = 46,244,540.06
  5. Step 5: Solve for x
    x = 46,244,540.06/6,688.14
  6. Step 6: Final answer
    x = 6,914.41

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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.