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Finding the Fourth Proportional to 9,673.14, 13,348.12 and 5,423.20

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Solution

The fourth proportional to 9,673.14, 13,348.12 and 5,423.20 is: 7,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.14 : 13,348.12 = 5,423.20 : x
  2. Step 2: Convert to fraction form
    9,673.14/13,348.12 = 5,423.20/x
  3. Step 3: Cross multiply
    9,673.14x = 13,348.12 × 5,423.20
  4. Step 4: Simplify right side
    9,673.14x = 72,389,524.38
  5. Step 5: Solve for x
    x = 72,389,524.38/9,673.14
  6. Step 6: Final answer
    x = 7,483.56

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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.