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Finding the Fourth Proportional to 6,473.00, 9,707.61 and 2,523.38

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Solution

The fourth proportional to 6,473.00, 9,707.61 and 2,523.38 is: 3,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.00 : 9,707.61 = 2,523.38 : x
  2. Step 2: Convert to fraction form
    6,473.00/9,707.61 = 2,523.38/x
  3. Step 3: Cross multiply
    6,473.00x = 9,707.61 × 2,523.38
  4. Step 4: Simplify right side
    6,473.00x = 24,495,940.38
  5. Step 5: Solve for x
    x = 24,495,940.38/6,473.00
  6. Step 6: Final answer
    x = 3,784.33

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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.