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Finding the Fourth Proportional to 9,865.49, 14,806.08 and 5,188.23

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Solution

The fourth proportional to 9,865.49, 14,806.08 and 5,188.23 is: 7,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.49 : 14,806.08 = 5,188.23 : x
  2. Step 2: Convert to fraction form
    9,865.49/14,806.08 = 5,188.23/x
  3. Step 3: Cross multiply
    9,865.49x = 14,806.08 × 5,188.23
  4. Step 4: Simplify right side
    9,865.49x = 76,817,348.44
  5. Step 5: Solve for x
    x = 76,817,348.44/9,865.49
  6. Step 6: Final answer
    x = 7,786.47

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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.