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Finding the Fourth Proportional to 7,258.34, 9,951.27 and 7,127.12

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Solution

The fourth proportional to 7,258.34, 9,951.27 and 7,127.12 is: 9,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.34 : 9,951.27 = 7,127.12 : x
  2. Step 2: Convert to fraction form
    7,258.34/9,951.27 = 7,127.12/x
  3. Step 3: Cross multiply
    7,258.34x = 9,951.27 × 7,127.12
  4. Step 4: Simplify right side
    7,258.34x = 70,923,895.44
  5. Step 5: Solve for x
    x = 70,923,895.44/7,258.34
  6. Step 6: Final answer
    x = 9,771.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.