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Finding the Fourth Proportional to 7,251, 9,931.40 and 6,825.44

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Solution

The fourth proportional to 7,251, 9,931.40 and 6,825.44 is: 9,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251 : 9,931.40 = 6,825.44 : x
  2. Step 2: Convert to fraction form
    7,251/9,931.40 = 6,825.44/x
  3. Step 3: Cross multiply
    7,251x = 9,931.40 × 6,825.44
  4. Step 4: Simplify right side
    7,251x = 67,786,174.82
  5. Step 5: Solve for x
    x = 67,786,174.82/7,251
  6. Step 6: Final answer
    x = 9,348.53

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