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Finding the Fourth Proportional to 6,378.90, 9,564.44 and 2,478.75

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Solution

The fourth proportional to 6,378.90, 9,564.44 and 2,478.75 is: 3,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.90 : 9,564.44 = 2,478.75 : x
  2. Step 2: Convert to fraction form
    6,378.90/9,564.44 = 2,478.75/x
  3. Step 3: Cross multiply
    6,378.90x = 9,564.44 × 2,478.75
  4. Step 4: Simplify right side
    6,378.90x = 23,707,843.26
  5. Step 5: Solve for x
    x = 23,707,843.26/6,378.90
  6. Step 6: Final answer
    x = 3,716.60

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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.