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Finding the Fourth Proportional to 7,103.52, 9,804.92 and 4,120.02

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Solution

The fourth proportional to 7,103.52, 9,804.92 and 4,120.02 is: 5,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.52 : 9,804.92 = 4,120.02 : x
  2. Step 2: Convert to fraction form
    7,103.52/9,804.92 = 4,120.02/x
  3. Step 3: Cross multiply
    7,103.52x = 9,804.92 × 4,120.02
  4. Step 4: Simplify right side
    7,103.52x = 40,396,445.90
  5. Step 5: Solve for x
    x = 40,396,445.90/7,103.52
  6. Step 6: Final answer
    x = 5,686.82

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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.