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Finding the Fourth Proportional to 9,847.40, 14,771.10 and 9,264.20

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Solution

The fourth proportional to 9,847.40, 14,771.10 and 9,264.20 is: 13,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.40 : 14,771.10 = 9,264.20 : x
  2. Step 2: Convert to fraction form
    9,847.40/14,771.10 = 9,264.20/x
  3. Step 3: Cross multiply
    9,847.40x = 14,771.10 × 9,264.20
  4. Step 4: Simplify right side
    9,847.40x = 136,842,424.62
  5. Step 5: Solve for x
    x = 136,842,424.62/9,847.40
  6. Step 6: Final answer
    x = 13,896.30

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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.