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Finding the Fourth Proportional to 9,578.53, 13,218.17 and 5,329.50

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Solution

The fourth proportional to 9,578.53, 13,218.17 and 5,329.50 is: 7,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.53 : 13,218.17 = 5,329.50 : x
  2. Step 2: Convert to fraction form
    9,578.53/13,218.17 = 5,329.50/x
  3. Step 3: Cross multiply
    9,578.53x = 13,218.17 × 5,329.50
  4. Step 4: Simplify right side
    9,578.53x = 70,446,237.02
  5. Step 5: Solve for x
    x = 70,446,237.02/9,578.53
  6. Step 6: Final answer
    x = 7,354.60

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Why These Related Problems?

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