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Finding the Fourth Proportional to 9,485.12, 13,082.28 and 5,708

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Solution

The fourth proportional to 9,485.12, 13,082.28 and 5,708 is: 7,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.12 : 13,082.28 = 5,708 : x
  2. Step 2: Convert to fraction form
    9,485.12/13,082.28 = 5,708/x
  3. Step 3: Cross multiply
    9,485.12x = 13,082.28 × 5,708
  4. Step 4: Simplify right side
    9,485.12x = 74,673,654.24
  5. Step 5: Solve for x
    x = 74,673,654.24/9,485.12
  6. Step 6: Final answer
    x = 7,872.72

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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.