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Finding the Fourth Proportional to 6,978.16, 9,628.93 and 4,324.60

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Solution

The fourth proportional to 6,978.16, 9,628.93 and 4,324.60 is: 5,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.16 : 9,628.93 = 4,324.60 : x
  2. Step 2: Convert to fraction form
    6,978.16/9,628.93 = 4,324.60/x
  3. Step 3: Cross multiply
    6,978.16x = 9,628.93 × 4,324.60
  4. Step 4: Simplify right side
    6,978.16x = 41,641,270.68
  5. Step 5: Solve for x
    x = 41,641,270.68/6,978.16
  6. Step 6: Final answer
    x = 5,967.37

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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.