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Finding the Fourth Proportional to 6,194.16, 9,274.32 and 3,559.28

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Solution

The fourth proportional to 6,194.16, 9,274.32 and 3,559.28 is: 5,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.16 : 9,274.32 = 3,559.28 : x
  2. Step 2: Convert to fraction form
    6,194.16/9,274.32 = 3,559.28/x
  3. Step 3: Cross multiply
    6,194.16x = 9,274.32 × 3,559.28
  4. Step 4: Simplify right side
    6,194.16x = 33,009,901.69
  5. Step 5: Solve for x
    x = 33,009,901.69/6,194.16
  6. Step 6: Final answer
    x = 5,329.20

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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.