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Finding the Fourth Proportional to 6,378.95, 9,564.75 and 2,478.80

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Solution

The fourth proportional to 6,378.95, 9,564.75 and 2,478.80 is: 3,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.95 : 9,564.75 = 2,478.80 : x
  2. Step 2: Convert to fraction form
    6,378.95/9,564.75 = 2,478.80/x
  3. Step 3: Cross multiply
    6,378.95x = 9,564.75 × 2,478.80
  4. Step 4: Simplify right side
    6,378.95x = 23,709,126.21
  5. Step 5: Solve for x
    x = 23,709,126.21/6,378.95
  6. Step 6: Final answer
    x = 3,716.77

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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.