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Finding the Fourth Proportional to 6,443.94, 9,658.42 and 5,275.92

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Solution

The fourth proportional to 6,443.94, 9,658.42 and 5,275.92 is: 7,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.94 : 9,658.42 = 5,275.92 : x
  2. Step 2: Convert to fraction form
    6,443.94/9,658.42 = 5,275.92/x
  3. Step 3: Cross multiply
    6,443.94x = 9,658.42 × 5,275.92
  4. Step 4: Simplify right side
    6,443.94x = 50,957,051.25
  5. Step 5: Solve for x
    x = 50,957,051.25/6,443.94
  6. Step 6: Final answer
    x = 7,907.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.