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Finding the Fourth Proportional to 6,305.16, 9,443.96 and 5,197.08

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Solution

The fourth proportional to 6,305.16, 9,443.96 and 5,197.08 is: 7,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.16 : 9,443.96 = 5,197.08 : x
  2. Step 2: Convert to fraction form
    6,305.16/9,443.96 = 5,197.08/x
  3. Step 3: Cross multiply
    6,305.16x = 9,443.96 × 5,197.08
  4. Step 4: Simplify right side
    6,305.16x = 49,081,015.64
  5. Step 5: Solve for x
    x = 49,081,015.64/6,305.16
  6. Step 6: Final answer
    x = 7,784.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.