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Finding the Fourth Proportional to 6,552.32, 9,039.72 and 4,194.08

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Solution

The fourth proportional to 6,552.32, 9,039.72 and 4,194.08 is: 5,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.32 : 9,039.72 = 4,194.08 : x
  2. Step 2: Convert to fraction form
    6,552.32/9,039.72 = 4,194.08/x
  3. Step 3: Cross multiply
    6,552.32x = 9,039.72 × 4,194.08
  4. Step 4: Simplify right side
    6,552.32x = 37,913,308.86
  5. Step 5: Solve for x
    x = 37,913,308.86/6,552.32
  6. Step 6: Final answer
    x = 5,786.24

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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.