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Finding the Fourth Proportional to 6,849.24, 9,455.58 and 5,273.88

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Solution

The fourth proportional to 6,849.24, 9,455.58 and 5,273.88 is: 7,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.24 : 9,455.58 = 5,273.88 : x
  2. Step 2: Convert to fraction form
    6,849.24/9,455.58 = 5,273.88/x
  3. Step 3: Cross multiply
    6,849.24x = 9,455.58 × 5,273.88
  4. Step 4: Simplify right side
    6,849.24x = 49,867,594.25
  5. Step 5: Solve for x
    x = 49,867,594.25/6,849.24
  6. Step 6: Final answer
    x = 7,280.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.