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Finding the Fourth Proportional to 6,599.26, 9,894.64 and 3,314.51

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Solution

The fourth proportional to 6,599.26, 9,894.64 and 3,314.51 is: 4,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.26 : 9,894.64 = 3,314.51 : x
  2. Step 2: Convert to fraction form
    6,599.26/9,894.64 = 3,314.51/x
  3. Step 3: Cross multiply
    6,599.26x = 9,894.64 × 3,314.51
  4. Step 4: Simplify right side
    6,599.26x = 32,795,883.23
  5. Step 5: Solve for x
    x = 32,795,883.23/6,599.26
  6. Step 6: Final answer
    x = 4,969.63

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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.