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Finding the Fourth Proportional to 9,509.11, 13,122.19 and 5,202.14

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Solution

The fourth proportional to 9,509.11, 13,122.19 and 5,202.14 is: 7,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.11 : 13,122.19 = 5,202.14 : x
  2. Step 2: Convert to fraction form
    9,509.11/13,122.19 = 5,202.14/x
  3. Step 3: Cross multiply
    9,509.11x = 13,122.19 × 5,202.14
  4. Step 4: Simplify right side
    9,509.11x = 68,263,410.38
  5. Step 5: Solve for x
    x = 68,263,410.38/9,509.11
  6. Step 6: Final answer
    x = 7,178.74

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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.