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Finding the Fourth Proportional to 9,752.70, 14,629.05 and 8,082.30

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Solution

The fourth proportional to 9,752.70, 14,629.05 and 8,082.30 is: 12,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.70 : 14,629.05 = 8,082.30 : x
  2. Step 2: Convert to fraction form
    9,752.70/14,629.05 = 8,082.30/x
  3. Step 3: Cross multiply
    9,752.70x = 14,629.05 × 8,082.30
  4. Step 4: Simplify right side
    9,752.70x = 118,236,370.82
  5. Step 5: Solve for x
    x = 118,236,370.82/9,752.70
  6. Step 6: Final answer
    x = 12,123.45

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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.