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Finding the Fourth Proportional to 9,559.81, 13,191.78 and 5,367.25

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Solution

The fourth proportional to 9,559.81, 13,191.78 and 5,367.25 is: 7,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.81 : 13,191.78 = 5,367.25 : x
  2. Step 2: Convert to fraction form
    9,559.81/13,191.78 = 5,367.25/x
  3. Step 3: Cross multiply
    9,559.81x = 13,191.78 × 5,367.25
  4. Step 4: Simplify right side
    9,559.81x = 70,803,581.21
  5. Step 5: Solve for x
    x = 70,803,581.21/9,559.81
  6. Step 6: Final answer
    x = 7,406.38

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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.