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Finding the Fourth Proportional to 6,447.34, 9,666.30 and 2,062.28

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Solution

The fourth proportional to 6,447.34, 9,666.30 and 2,062.28 is: 3,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.34 : 9,666.30 = 2,062.28 : x
  2. Step 2: Convert to fraction form
    6,447.34/9,666.30 = 2,062.28/x
  3. Step 3: Cross multiply
    6,447.34x = 9,666.30 × 2,062.28
  4. Step 4: Simplify right side
    6,447.34x = 19,934,617.16
  5. Step 5: Solve for x
    x = 19,934,617.16/6,447.34
  6. Step 6: Final answer
    x = 3,091.91

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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.