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Finding the Fourth Proportional to 6,652.89, 9,966 and 4,304.79

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Solution

The fourth proportional to 6,652.89, 9,966 and 4,304.79 is: 6,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.89 : 9,966 = 4,304.79 : x
  2. Step 2: Convert to fraction form
    6,652.89/9,966 = 4,304.79/x
  3. Step 3: Cross multiply
    6,652.89x = 9,966 × 4,304.79
  4. Step 4: Simplify right side
    6,652.89x = 42,901,537.14
  5. Step 5: Solve for x
    x = 42,901,537.14/6,652.89
  6. Step 6: Final answer
    x = 6,448.56

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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.