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Finding the Fourth Proportional to 10,709.64, 14,772.33 and 6,727.23

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Solution

The fourth proportional to 10,709.64, 14,772.33 and 6,727.23 is: 9,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.64 : 14,772.33 = 6,727.23 : x
  2. Step 2: Convert to fraction form
    10,709.64/14,772.33 = 6,727.23/x
  3. Step 3: Cross multiply
    10,709.64x = 14,772.33 × 6,727.23
  4. Step 4: Simplify right side
    10,709.64x = 99,376,861.55
  5. Step 5: Solve for x
    x = 99,376,861.55/10,709.64
  6. Step 6: Final answer
    x = 9,279.20

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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.