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Finding the Fourth Proportional to 6,382.60, 9,580.22 and 5,226.32

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Solution

The fourth proportional to 6,382.60, 9,580.22 and 5,226.32 is: 7,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.60 : 9,580.22 = 5,226.32 : x
  2. Step 2: Convert to fraction form
    6,382.60/9,580.22 = 5,226.32/x
  3. Step 3: Cross multiply
    6,382.60x = 9,580.22 × 5,226.32
  4. Step 4: Simplify right side
    6,382.60x = 50,069,295.39
  5. Step 5: Solve for x
    x = 50,069,295.39/6,382.60
  6. Step 6: Final answer
    x = 7,844.66

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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.