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Finding the Fourth Proportional to 9,559.85, 13,190.29 and 5,578.69

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Solution

The fourth proportional to 9,559.85, 13,190.29 and 5,578.69 is: 7,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.85 : 13,190.29 = 5,578.69 : x
  2. Step 2: Convert to fraction form
    9,559.85/13,190.29 = 5,578.69/x
  3. Step 3: Cross multiply
    9,559.85x = 13,190.29 × 5,578.69
  4. Step 4: Simplify right side
    9,559.85x = 73,584,511.03
  5. Step 5: Solve for x
    x = 73,584,511.03/9,559.85
  6. Step 6: Final answer
    x = 7,697.25

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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.