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Finding the Fourth Proportional to 6,430.78, 9,647.34 and 2,047.78

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Solution

The fourth proportional to 6,430.78, 9,647.34 and 2,047.78 is: 3,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.78 : 9,647.34 = 2,047.78 : x
  2. Step 2: Convert to fraction form
    6,430.78/9,647.34 = 2,047.78/x
  3. Step 3: Cross multiply
    6,430.78x = 9,647.34 × 2,047.78
  4. Step 4: Simplify right side
    6,430.78x = 19,755,629.91
  5. Step 5: Solve for x
    x = 19,755,629.91/6,430.78
  6. Step 6: Final answer
    x = 3,072.04

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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.