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Finding the Fourth Proportional to 9,165.30, 13,747.95 and 9,165.30

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Solution

The fourth proportional to 9,165.30, 13,747.95 and 9,165.30 is: 13,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.30 : 13,747.95 = 9,165.30 : x
  2. Step 2: Convert to fraction form
    9,165.30/13,747.95 = 9,165.30/x
  3. Step 3: Cross multiply
    9,165.30x = 13,747.95 × 9,165.30
  4. Step 4: Simplify right side
    9,165.30x = 126,004,086.14
  5. Step 5: Solve for x
    x = 126,004,086.14/9,165.30
  6. Step 6: Final answer
    x = 13,747.95

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Similar ratio
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1.5x scale

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.