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Finding the Fourth Proportional to 7,104.36, 9,802.26 and 3,959.76

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Solution

The fourth proportional to 7,104.36, 9,802.26 and 3,959.76 is: 5,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.36 : 9,802.26 = 3,959.76 : x
  2. Step 2: Convert to fraction form
    7,104.36/9,802.26 = 3,959.76/x
  3. Step 3: Cross multiply
    7,104.36x = 9,802.26 × 3,959.76
  4. Step 4: Simplify right side
    7,104.36x = 38,814,597.06
  5. Step 5: Solve for x
    x = 38,814,597.06/7,104.36
  6. Step 6: Final answer
    x = 5,463.49

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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.