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Finding the Fourth Proportional to 9,082.76, 12,538.88 and 6,283.40

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Solution

The fourth proportional to 9,082.76, 12,538.88 and 6,283.40 is: 8,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.76 : 12,538.88 = 6,283.40 : x
  2. Step 2: Convert to fraction form
    9,082.76/12,538.88 = 6,283.40/x
  3. Step 3: Cross multiply
    9,082.76x = 12,538.88 × 6,283.40
  4. Step 4: Simplify right side
    9,082.76x = 78,786,704.48
  5. Step 5: Solve for x
    x = 78,786,704.48/9,082.76
  6. Step 6: Final answer
    x = 8,674.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.