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Finding the Fourth Proportional to 6,316.54, 9,469.45 and 2,616.46

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Solution

The fourth proportional to 6,316.54, 9,469.45 and 2,616.46 is: 3,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.54 : 9,469.45 = 2,616.46 : x
  2. Step 2: Convert to fraction form
    6,316.54/9,469.45 = 2,616.46/x
  3. Step 3: Cross multiply
    6,316.54x = 9,469.45 × 2,616.46
  4. Step 4: Simplify right side
    6,316.54x = 24,776,437.15
  5. Step 5: Solve for x
    x = 24,776,437.15/6,316.54
  6. Step 6: Final answer
    x = 3,922.47

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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.