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Finding the Fourth Proportional to 6,730.40, 9,268.36 and 5,235.80

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Solution

The fourth proportional to 6,730.40, 9,268.36 and 5,235.80 is: 7,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.40 : 9,268.36 = 5,235.80 : x
  2. Step 2: Convert to fraction form
    6,730.40/9,268.36 = 5,235.80/x
  3. Step 3: Cross multiply
    6,730.40x = 9,268.36 × 5,235.80
  4. Step 4: Simplify right side
    6,730.40x = 48,527,289.37
  5. Step 5: Solve for x
    x = 48,527,289.37/6,730.40
  6. Step 6: Final answer
    x = 7,210.16

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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.