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Finding the Fourth Proportional to 7,103.56, 9,806.25 and 4,717.30

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Solution

The fourth proportional to 7,103.56, 9,806.25 and 4,717.30 is: 6,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.56 : 9,806.25 = 4,717.30 : x
  2. Step 2: Convert to fraction form
    7,103.56/9,806.25 = 4,717.30/x
  3. Step 3: Cross multiply
    7,103.56x = 9,806.25 × 4,717.30
  4. Step 4: Simplify right side
    7,103.56x = 46,259,023.13
  5. Step 5: Solve for x
    x = 46,259,023.13/7,103.56
  6. Step 6: Final answer
    x = 6,512.09

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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.