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Finding the Fourth Proportional to 6,382.40, 9,580.08 and 4,438.40

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Solution

The fourth proportional to 6,382.40, 9,580.08 and 4,438.40 is: 6,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.40 : 9,580.08 = 4,438.40 : x
  2. Step 2: Convert to fraction form
    6,382.40/9,580.08 = 4,438.40/x
  3. Step 3: Cross multiply
    6,382.40x = 9,580.08 × 4,438.40
  4. Step 4: Simplify right side
    6,382.40x = 42,520,227.07
  5. Step 5: Solve for x
    x = 42,520,227.07/6,382.40
  6. Step 6: Final answer
    x = 6,662.11

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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.