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Finding the Fourth Proportional to 6,444.73, 9,666.79 and 2,284.67

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Solution

The fourth proportional to 6,444.73, 9,666.79 and 2,284.67 is: 3,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.73 : 9,666.79 = 2,284.67 : x
  2. Step 2: Convert to fraction form
    6,444.73/9,666.79 = 2,284.67/x
  3. Step 3: Cross multiply
    6,444.73x = 9,666.79 × 2,284.67
  4. Step 4: Simplify right side
    6,444.73x = 22,085,425.11
  5. Step 5: Solve for x
    x = 22,085,425.11/6,444.73
  6. Step 6: Final answer
    x = 3,426.90

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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.