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Finding the Fourth Proportional to 9,549, 13,179.20 and 5,570.11

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Solution

The fourth proportional to 9,549, 13,179.20 and 5,570.11 is: 7,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549 : 13,179.20 = 5,570.11 : x
  2. Step 2: Convert to fraction form
    9,549/13,179.20 = 5,570.11/x
  3. Step 3: Cross multiply
    9,549x = 13,179.20 × 5,570.11
  4. Step 4: Simplify right side
    9,549x = 73,409,593.71
  5. Step 5: Solve for x
    x = 73,409,593.71/9,549
  6. Step 6: Final answer
    x = 7,687.67

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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.