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Finding the Fourth Proportional to 6,344.10, 9,509.58 and 2,648.46

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Solution

The fourth proportional to 6,344.10, 9,509.58 and 2,648.46 is: 3,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.10 : 9,509.58 = 2,648.46 : x
  2. Step 2: Convert to fraction form
    6,344.10/9,509.58 = 2,648.46/x
  3. Step 3: Cross multiply
    6,344.10x = 9,509.58 × 2,648.46
  4. Step 4: Simplify right side
    6,344.10x = 25,185,742.25
  5. Step 5: Solve for x
    x = 25,185,742.25/6,344.10
  6. Step 6: Final answer
    x = 3,969.95

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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.