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Finding the Fourth Proportional to 9,497, 14,247.78 and 4,301.48

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Solution

The fourth proportional to 9,497, 14,247.78 and 4,301.48 is: 6,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497 : 14,247.78 = 4,301.48 : x
  2. Step 2: Convert to fraction form
    9,497/14,247.78 = 4,301.48/x
  3. Step 3: Cross multiply
    9,497x = 14,247.78 × 4,301.48
  4. Step 4: Simplify right side
    9,497x = 61,286,540.71
  5. Step 5: Solve for x
    x = 61,286,540.71/9,497
  6. Step 6: Final answer
    x = 6,453.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.