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Finding the Fourth Proportional to 6,485.82, 9,667.03 and 6,116.73

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Solution

The fourth proportional to 6,485.82, 9,667.03 and 6,116.73 is: 9,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.82 : 9,667.03 = 6,116.73 : x
  2. Step 2: Convert to fraction form
    6,485.82/9,667.03 = 6,116.73/x
  3. Step 3: Cross multiply
    6,485.82x = 9,667.03 × 6,116.73
  4. Step 4: Simplify right side
    6,485.82x = 59,130,627.70
  5. Step 5: Solve for x
    x = 59,130,627.70/6,485.82
  6. Step 6: Final answer
    x = 9,116.91

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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.