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Finding the Fourth Proportional to 6,169.08, 9,212.88 and 5,282.28

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Solution

The fourth proportional to 6,169.08, 9,212.88 and 5,282.28 is: 7,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.08 : 9,212.88 = 5,282.28 : x
  2. Step 2: Convert to fraction form
    6,169.08/9,212.88 = 5,282.28/x
  3. Step 3: Cross multiply
    6,169.08x = 9,212.88 × 5,282.28
  4. Step 4: Simplify right side
    6,169.08x = 48,665,011.77
  5. Step 5: Solve for x
    x = 48,665,011.77/6,169.08
  6. Step 6: Final answer
    x = 7,888.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.