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Finding the Fourth Proportional to 6,544.12, 9,034.24 and 5,048.68

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Solution

The fourth proportional to 6,544.12, 9,034.24 and 5,048.68 is: 6,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.12 : 9,034.24 = 5,048.68 : x
  2. Step 2: Convert to fraction form
    6,544.12/9,034.24 = 5,048.68/x
  3. Step 3: Cross multiply
    6,544.12x = 9,034.24 × 5,048.68
  4. Step 4: Simplify right side
    6,544.12x = 45,610,986.80
  5. Step 5: Solve for x
    x = 45,610,986.80/6,544.12
  6. Step 6: Final answer
    x = 6,969.77

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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.