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Finding the Fourth Proportional to 9,433.09, 14,197 and 7,105.15

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Solution

The fourth proportional to 9,433.09, 14,197 and 7,105.15 is: 10,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.09 : 14,197 = 7,105.15 : x
  2. Step 2: Convert to fraction form
    9,433.09/14,197 = 7,105.15/x
  3. Step 3: Cross multiply
    9,433.09x = 14,197 × 7,105.15
  4. Step 4: Simplify right side
    9,433.09x = 100,871,814.55
  5. Step 5: Solve for x
    x = 100,871,814.55/9,433.09
  6. Step 6: Final answer
    x = 10,693.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.