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Finding the Fourth Proportional to 9,559.69, 13,198.80 and 7,317.57

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Solution

The fourth proportional to 9,559.69, 13,198.80 and 7,317.57 is: 10,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.69 : 13,198.80 = 7,317.57 : x
  2. Step 2: Convert to fraction form
    9,559.69/13,198.80 = 7,317.57/x
  3. Step 3: Cross multiply
    9,559.69x = 13,198.80 × 7,317.57
  4. Step 4: Simplify right side
    9,559.69x = 96,583,142.92
  5. Step 5: Solve for x
    x = 96,583,142.92/9,559.69
  6. Step 6: Final answer
    x = 10,103.17

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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.