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Finding the Fourth Proportional to 9,206.10, 13,816.14 and 6,747.34

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Solution

The fourth proportional to 9,206.10, 13,816.14 and 6,747.34 is: 10,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.10 : 13,816.14 = 6,747.34 : x
  2. Step 2: Convert to fraction form
    9,206.10/13,816.14 = 6,747.34/x
  3. Step 3: Cross multiply
    9,206.10x = 13,816.14 × 6,747.34
  4. Step 4: Simplify right side
    9,206.10x = 93,222,194.07
  5. Step 5: Solve for x
    x = 93,222,194.07/9,206.10
  6. Step 6: Final answer
    x = 10,126.13

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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.