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Finding the Fourth Proportional to 6,572.67, 9,071.07 and 3,740.73

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Solution

The fourth proportional to 6,572.67, 9,071.07 and 3,740.73 is: 5,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.67 : 9,071.07 = 3,740.73 : x
  2. Step 2: Convert to fraction form
    6,572.67/9,071.07 = 3,740.73/x
  3. Step 3: Cross multiply
    6,572.67x = 9,071.07 × 3,740.73
  4. Step 4: Simplify right side
    6,572.67x = 33,932,423.68
  5. Step 5: Solve for x
    x = 33,932,423.68/6,572.67
  6. Step 6: Final answer
    x = 5,162.65

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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.