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Finding the Fourth Proportional to 9,980.27, 13,772.30 and 5,728.38

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Solution

The fourth proportional to 9,980.27, 13,772.30 and 5,728.38 is: 7,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.27 : 13,772.30 = 5,728.38 : x
  2. Step 2: Convert to fraction form
    9,980.27/13,772.30 = 5,728.38/x
  3. Step 3: Cross multiply
    9,980.27x = 13,772.30 × 5,728.38
  4. Step 4: Simplify right side
    9,980.27x = 78,892,967.87
  5. Step 5: Solve for x
    x = 78,892,967.87/9,980.27
  6. Step 6: Final answer
    x = 7,904.89

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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.