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Finding the Fourth Proportional to 6,430.91, 9,646.26 and 2,048.30

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Solution

The fourth proportional to 6,430.91, 9,646.26 and 2,048.30 is: 3,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.91 : 9,646.26 = 2,048.30 : x
  2. Step 2: Convert to fraction form
    6,430.91/9,646.26 = 2,048.30/x
  3. Step 3: Cross multiply
    6,430.91x = 9,646.26 × 2,048.30
  4. Step 4: Simplify right side
    6,430.91x = 19,758,414.62
  5. Step 5: Solve for x
    x = 19,758,414.62/6,430.91
  6. Step 6: Final answer
    x = 3,072.42

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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.