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Finding the Fourth Proportional to 6,323.07, 9,476.93 and 4,474.73

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Solution

The fourth proportional to 6,323.07, 9,476.93 and 4,474.73 is: 6,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.07 : 9,476.93 = 4,474.73 : x
  2. Step 2: Convert to fraction form
    6,323.07/9,476.93 = 4,474.73/x
  3. Step 3: Cross multiply
    6,323.07x = 9,476.93 × 4,474.73
  4. Step 4: Simplify right side
    6,323.07x = 42,406,633.22
  5. Step 5: Solve for x
    x = 42,406,633.22/6,323.07
  6. Step 6: Final answer
    x = 6,706.65

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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.