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Finding the Fourth Proportional to 6,744.60, 9,296.91 and 5,063.58

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Solution

The fourth proportional to 6,744.60, 9,296.91 and 5,063.58 is: 6,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.60 : 9,296.91 = 5,063.58 : x
  2. Step 2: Convert to fraction form
    6,744.60/9,296.91 = 5,063.58/x
  3. Step 3: Cross multiply
    6,744.60x = 9,296.91 × 5,063.58
  4. Step 4: Simplify right side
    6,744.60x = 47,075,647.54
  5. Step 5: Solve for x
    x = 47,075,647.54/6,744.60
  6. Step 6: Final answer
    x = 6,979.75

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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.