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Finding the Fourth Proportional to 6,332.25, 9,498.51 and 2,172.24

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Solution

The fourth proportional to 6,332.25, 9,498.51 and 2,172.24 is: 3,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.25 : 9,498.51 = 2,172.24 : x
  2. Step 2: Convert to fraction form
    6,332.25/9,498.51 = 2,172.24/x
  3. Step 3: Cross multiply
    6,332.25x = 9,498.51 × 2,172.24
  4. Step 4: Simplify right side
    6,332.25x = 20,633,043.36
  5. Step 5: Solve for x
    x = 20,633,043.36/6,332.25
  6. Step 6: Final answer
    x = 3,258.41

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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.