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Finding the Fourth Proportional to 6,418.96, 9,621.06 and 2,948.92

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Solution

The fourth proportional to 6,418.96, 9,621.06 and 2,948.92 is: 4,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.96 : 9,621.06 = 2,948.92 : x
  2. Step 2: Convert to fraction form
    6,418.96/9,621.06 = 2,948.92/x
  3. Step 3: Cross multiply
    6,418.96x = 9,621.06 × 2,948.92
  4. Step 4: Simplify right side
    6,418.96x = 28,371,736.26
  5. Step 5: Solve for x
    x = 28,371,736.26/6,418.96
  6. Step 6: Final answer
    x = 4,419.99

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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.