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Finding the Fourth Proportional to 9,176.64, 13,780.08 and 4,796.64

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Solution

The fourth proportional to 9,176.64, 13,780.08 and 4,796.64 is: 7,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.64 : 13,780.08 = 4,796.64 : x
  2. Step 2: Convert to fraction form
    9,176.64/13,780.08 = 4,796.64/x
  3. Step 3: Cross multiply
    9,176.64x = 13,780.08 × 4,796.64
  4. Step 4: Simplify right side
    9,176.64x = 66,098,082.93
  5. Step 5: Solve for x
    x = 66,098,082.93/9,176.64
  6. Step 6: Final answer
    x = 7,202.86

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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.