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Finding the Fourth Proportional to 9,200.14, 12,696.59 and 5,221.62

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Solution

The fourth proportional to 9,200.14, 12,696.59 and 5,221.62 is: 7,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.14 : 12,696.59 = 5,221.62 : x
  2. Step 2: Convert to fraction form
    9,200.14/12,696.59 = 5,221.62/x
  3. Step 3: Cross multiply
    9,200.14x = 12,696.59 × 5,221.62
  4. Step 4: Simplify right side
    9,200.14x = 66,296,780.32
  5. Step 5: Solve for x
    x = 66,296,780.32/9,200.14
  6. Step 6: Final answer
    x = 7,206.06

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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.