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Finding the Fourth Proportional to 9,559.86, 13,192.17 and 5,311.20

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Solution

The fourth proportional to 9,559.86, 13,192.17 and 5,311.20 is: 7,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.86 : 13,192.17 = 5,311.20 : x
  2. Step 2: Convert to fraction form
    9,559.86/13,192.17 = 5,311.20/x
  3. Step 3: Cross multiply
    9,559.86x = 13,192.17 × 5,311.20
  4. Step 4: Simplify right side
    9,559.86x = 70,066,233.39
  5. Step 5: Solve for x
    x = 70,066,233.39/9,559.86
  6. Step 6: Final answer
    x = 7,329.21

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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.