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Finding the Fourth Proportional to 6,378.30, 9,551.25 and 5,335.74

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Solution

The fourth proportional to 6,378.30, 9,551.25 and 5,335.74 is: 7,990.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.30 : 9,551.25 = 5,335.74 : x
  2. Step 2: Convert to fraction form
    6,378.30/9,551.25 = 5,335.74/x
  3. Step 3: Cross multiply
    6,378.30x = 9,551.25 × 5,335.74
  4. Step 4: Simplify right side
    6,378.30x = 50,962,986.68
  5. Step 5: Solve for x
    x = 50,962,986.68/6,378.30
  6. Step 6: Final answer
    x = 7,990.06

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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.