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Finding the Fourth Proportional to 9,541.40, 14,312.10 and 8,229.20

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Solution

The fourth proportional to 9,541.40, 14,312.10 and 8,229.20 is: 12,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.40 : 14,312.10 = 8,229.20 : x
  2. Step 2: Convert to fraction form
    9,541.40/14,312.10 = 8,229.20/x
  3. Step 3: Cross multiply
    9,541.40x = 14,312.10 × 8,229.20
  4. Step 4: Simplify right side
    9,541.40x = 117,777,133.32
  5. Step 5: Solve for x
    x = 117,777,133.32/9,541.40
  6. Step 6: Final answer
    x = 12,343.80

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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.