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Finding the Fourth Proportional to 9,578.78, 13,218.37 and 5,329.70

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Solution

The fourth proportional to 9,578.78, 13,218.37 and 5,329.70 is: 7,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.78 : 13,218.37 = 5,329.70 : x
  2. Step 2: Convert to fraction form
    9,578.78/13,218.37 = 5,329.70/x
  3. Step 3: Cross multiply
    9,578.78x = 13,218.37 × 5,329.70
  4. Step 4: Simplify right side
    9,578.78x = 70,449,880.50
  5. Step 5: Solve for x
    x = 70,449,880.50/9,578.78
  6. Step 6: Final answer
    x = 7,354.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.