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Finding the Fourth Proportional to 6,508.94, 9,763.43 and 3,048.62

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Solution

The fourth proportional to 6,508.94, 9,763.43 and 3,048.62 is: 4,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.94 : 9,763.43 = 3,048.62 : x
  2. Step 2: Convert to fraction form
    6,508.94/9,763.43 = 3,048.62/x
  3. Step 3: Cross multiply
    6,508.94x = 9,763.43 × 3,048.62
  4. Step 4: Simplify right side
    6,508.94x = 29,764,987.97
  5. Step 5: Solve for x
    x = 29,764,987.97/6,508.94
  6. Step 6: Final answer
    x = 4,572.94

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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.