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Finding the Fourth Proportional to 6,300.14, 9,447.05 and 3,668.51

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Solution

The fourth proportional to 6,300.14, 9,447.05 and 3,668.51 is: 5,500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.14 : 9,447.05 = 3,668.51 : x
  2. Step 2: Convert to fraction form
    6,300.14/9,447.05 = 3,668.51/x
  3. Step 3: Cross multiply
    6,300.14x = 9,447.05 × 3,668.51
  4. Step 4: Simplify right side
    6,300.14x = 34,656,531.82
  5. Step 5: Solve for x
    x = 34,656,531.82/6,300.14
  6. Step 6: Final answer
    x = 5,500.92

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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.