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Finding the Fourth Proportional to 6,338.63, 9,509.58 and 3,708.38

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Solution

The fourth proportional to 6,338.63, 9,509.58 and 3,708.38 is: 5,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.63 : 9,509.58 = 3,708.38 : x
  2. Step 2: Convert to fraction form
    6,338.63/9,509.58 = 3,708.38/x
  3. Step 3: Cross multiply
    6,338.63x = 9,509.58 × 3,708.38
  4. Step 4: Simplify right side
    6,338.63x = 35,265,088.73
  5. Step 5: Solve for x
    x = 35,265,088.73/6,338.63
  6. Step 6: Final answer
    x = 5,563.52

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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.