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Finding the Fourth Proportional to 7,103.25, 9,802.49 and 3,959.64

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Solution

The fourth proportional to 7,103.25, 9,802.49 and 3,959.64 is: 5,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.25 : 9,802.49 = 3,959.64 : x
  2. Step 2: Convert to fraction form
    7,103.25/9,802.49 = 3,959.64/x
  3. Step 3: Cross multiply
    7,103.25x = 9,802.49 × 3,959.64
  4. Step 4: Simplify right side
    7,103.25x = 38,814,311.71
  5. Step 5: Solve for x
    x = 38,814,311.71/7,103.25
  6. Step 6: Final answer
    x = 5,464.30

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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.