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Finding the Fourth Proportional to 9,209.40, 12,709.29 and 5,230.38

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Solution

The fourth proportional to 9,209.40, 12,709.29 and 5,230.38 is: 7,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.40 : 12,709.29 = 5,230.38 : x
  2. Step 2: Convert to fraction form
    9,209.40/12,709.29 = 5,230.38/x
  3. Step 3: Cross multiply
    9,209.40x = 12,709.29 × 5,230.38
  4. Step 4: Simplify right side
    9,209.40x = 66,474,416.23
  5. Step 5: Solve for x
    x = 66,474,416.23/9,209.40
  6. Step 6: Final answer
    x = 7,218.11

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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.