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Finding the Fourth Proportional to 9,473.00, 14,209.50 and 6,502.43

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Solution

The fourth proportional to 9,473.00, 14,209.50 and 6,502.43 is: 9,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.00 : 14,209.50 = 6,502.43 : x
  2. Step 2: Convert to fraction form
    9,473.00/14,209.50 = 6,502.43/x
  3. Step 3: Cross multiply
    9,473.00x = 14,209.50 × 6,502.43
  4. Step 4: Simplify right side
    9,473.00x = 92,396,290.22
  5. Step 5: Solve for x
    x = 92,396,290.22/9,473.00
  6. Step 6: Final answer
    x = 9,753.65

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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.